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Finding the Fourth Proportional to 521,429, 719,572.02 and 282,965

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Solution

The fourth proportional to 521,429, 719,572.02 and 282,965 is: 390,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,429 : 719,572.02 = 282,965 : x
  2. Step 2: Convert to fraction form
    521,429/719,572.02 = 282,965/x
  3. Step 3: Cross multiply
    521,429x = 719,572.02 × 282,965
  4. Step 4: Simplify right side
    521,429x = 203,613,696,639.30
  5. Step 5: Solve for x
    x = 203,613,696,639.30/521,429
  6. Step 6: Final answer
    x = 390,491.70

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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.