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Finding the Fourth Proportional to 510,428.57, 704,391.42 and 284,127.53

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Solution

The fourth proportional to 510,428.57, 704,391.42 and 284,127.53 is: 392,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,428.57 : 704,391.42 = 284,127.53 : x
  2. Step 2: Convert to fraction form
    510,428.57/704,391.42 = 284,127.53/x
  3. Step 3: Cross multiply
    510,428.57x = 704,391.42 × 284,127.53
  4. Step 4: Simplify right side
    510,428.57x = 200,136,994,317.79
  5. Step 5: Solve for x
    x = 200,136,994,317.79/510,428.57
  6. Step 6: Final answer
    x = 392,095.99

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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.