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Finding the Fourth Proportional to 510,428.32, 704,391.08 and 284,127.28

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Solution

The fourth proportional to 510,428.32, 704,391.08 and 284,127.28 is: 392,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,428.32 : 704,391.08 = 284,127.28 : x
  2. Step 2: Convert to fraction form
    510,428.32/704,391.08 = 284,127.28/x
  3. Step 3: Cross multiply
    510,428.32x = 704,391.08 × 284,127.28
  4. Step 4: Simplify right side
    510,428.32x = 200,136,720,196.03
  5. Step 5: Solve for x
    x = 200,136,720,196.03/510,428.32
  6. Step 6: Final answer
    x = 392,095.64

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1.5x scale

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.