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Finding the Fourth Proportional to 510,513.66, 704,496.78 and 284,154.30

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Solution

The fourth proportional to 510,513.66, 704,496.78 and 284,154.30 is: 392,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,513.66 : 704,496.78 = 284,154.30 : x
  2. Step 2: Convert to fraction form
    510,513.66/704,496.78 = 284,154.30/x
  3. Step 3: Cross multiply
    510,513.66x = 704,496.78 × 284,154.30
  4. Step 4: Simplify right side
    510,513.66x = 200,185,789,373.15
  5. Step 5: Solve for x
    x = 200,185,789,373.15/510,513.66
  6. Step 6: Final answer
    x = 392,126.22

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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.