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Finding the Fourth Proportional to 415,016.80, 623,108.40 and 257,552.80

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Solution

The fourth proportional to 415,016.80, 623,108.40 and 257,552.80 is: 386,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,016.80 : 623,108.40 = 257,552.80 : x
  2. Step 2: Convert to fraction form
    415,016.80/623,108.40 = 257,552.80/x
  3. Step 3: Cross multiply
    415,016.80x = 623,108.40 × 257,552.80
  4. Step 4: Simplify right side
    415,016.80x = 160,483,313,123.52
  5. Step 5: Solve for x
    x = 160,483,313,123.52/415,016.80
  6. Step 6: Final answer
    x = 386,691.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.