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Finding the Fourth Proportional to 506,458.09, 699,127.37 and 315,565.80

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Solution

The fourth proportional to 506,458.09, 699,127.37 and 315,565.80 is: 435,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,458.09 : 699,127.37 = 315,565.80 : x
  2. Step 2: Convert to fraction form
    506,458.09/699,127.37 = 315,565.80/x
  3. Step 3: Cross multiply
    506,458.09x = 699,127.37 × 315,565.80
  4. Step 4: Simplify right side
    506,458.09x = 220,620,687,815.95
  5. Step 5: Solve for x
    x = 220,620,687,815.95/506,458.09
  6. Step 6: Final answer
    x = 435,614.90

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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.