Home / 513,942,638,145.05-709,257,849,719.40-282,464,362,275.84

Finding the Fourth Proportional to 513,942,638,145.05, 709,257,849,719.40 and 282,464,362,275.84

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Solution

The fourth proportional to 513,942,638,145.05, 709,257,849,719.40 and 282,464,362,275.84 is: 389,810,168,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,942,638,145.05 : 709,257,849,719.40 = 282,464,362,275.84 : x
  2. Step 2: Convert to fraction form
    513,942,638,145.05/709,257,849,719.40 = 282,464,362,275.84/x
  3. Step 3: Cross multiply
    513,942,638,145.05x = 709,257,849,719.40 × 282,464,362,275.84
  4. Step 4: Simplify right side
    513,942,638,145.05x = 200,340,066,210,123,909,955,584
  5. Step 5: Solve for x
    x = 200,340,066,210,123,909,955,584/513,942,638,145.05
  6. Step 6: Final answer
    x = 389,810,168,179.86

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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.