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Finding the Fourth Proportional to 514,389.92, 709,842.02 and 284,938

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Solution

The fourth proportional to 514,389.92, 709,842.02 and 284,938 is: 393,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,389.92 : 709,842.02 = 284,938 : x
  2. Step 2: Convert to fraction form
    514,389.92/709,842.02 = 284,938/x
  3. Step 3: Cross multiply
    514,389.92x = 709,842.02 × 284,938
  4. Step 4: Simplify right side
    514,389.92x = 202,260,965,494.76
  5. Step 5: Solve for x
    x = 202,260,965,494.76/514,389.92
  6. Step 6: Final answer
    x = 393,205.54

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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.