Home / 513,942,638,145.10-709,257,849,719.42-282,464,362,275.84

Finding the Fourth Proportional to 513,942,638,145.10, 709,257,849,719.42 and 282,464,362,275.84

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Solution

The fourth proportional to 513,942,638,145.10, 709,257,849,719.42 and 282,464,362,275.84 is: 389,810,168,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,942,638,145.10 : 709,257,849,719.42 = 282,464,362,275.84 : x
  2. Step 2: Convert to fraction form
    513,942,638,145.10/709,257,849,719.42 = 282,464,362,275.84/x
  3. Step 3: Cross multiply
    513,942,638,145.10x = 709,257,849,719.42 × 282,464,362,275.84
  4. Step 4: Simplify right side
    513,942,638,145.10x = 200,340,066,210,129,580,654,592
  5. Step 5: Solve for x
    x = 200,340,066,210,129,580,654,592/513,942,638,145.10
  6. Step 6: Final answer
    x = 389,810,168,179.84

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