Home / 513,942,638,165.48-709,257,849,747.54-282,464,362,296.18

Finding the Fourth Proportional to 513,942,638,165.48, 709,257,849,747.54 and 282,464,362,296.18

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Solution

The fourth proportional to 513,942,638,165.48, 709,257,849,747.54 and 282,464,362,296.18 is: 389,810,168,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,942,638,165.48 : 709,257,849,747.54 = 282,464,362,296.18 : x
  2. Step 2: Convert to fraction form
    513,942,638,165.48/709,257,849,747.54 = 282,464,362,296.18/x
  3. Step 3: Cross multiply
    513,942,638,165.48x = 709,257,849,747.54 × 282,464,362,296.18
  4. Step 4: Simplify right side
    513,942,638,165.48x = 200,340,066,232,498,743,410,688
  5. Step 5: Solve for x
    x = 200,340,066,232,498,743,410,688/513,942,638,165.48
  6. Step 6: Final answer
    x = 389,810,168,207.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.