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Finding the Fourth Proportional to 512,328.53, 707,024.61 and 282,885.20

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Solution

The fourth proportional to 512,328.53, 707,024.61 and 282,885.20 is: 390,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,328.53 : 707,024.61 = 282,885.20 : x
  2. Step 2: Convert to fraction form
    512,328.53/707,024.61 = 282,885.20/x
  3. Step 3: Cross multiply
    512,328.53x = 707,024.61 × 282,885.20
  4. Step 4: Simplify right side
    512,328.53x = 200,006,798,204.77
  5. Step 5: Solve for x
    x = 200,006,798,204.77/512,328.53
  6. Step 6: Final answer
    x = 390,387.78

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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.