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Finding the Fourth Proportional to 510,811.96, 704,909.10 and 284,478.52

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Solution

The fourth proportional to 510,811.96, 704,909.10 and 284,478.52 is: 392,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,811.96 : 704,909.10 = 284,478.52 : x
  2. Step 2: Convert to fraction form
    510,811.96/704,909.10 = 284,478.52/x
  3. Step 3: Cross multiply
    510,811.96x = 704,909.10 × 284,478.52
  4. Step 4: Simplify right side
    510,811.96x = 200,531,497,502.53
  5. Step 5: Solve for x
    x = 200,531,497,502.53/510,811.96
  6. Step 6: Final answer
    x = 392,574.01

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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.