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Finding the Fourth Proportional to 516,003.86, 712,092.32 and 286,575.95

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Solution

The fourth proportional to 516,003.86, 712,092.32 and 286,575.95 is: 395,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,003.86 : 712,092.32 = 286,575.95 : x
  2. Step 2: Convert to fraction form
    516,003.86/712,092.32 = 286,575.95/x
  3. Step 3: Cross multiply
    516,003.86x = 712,092.32 × 286,575.95
  4. Step 4: Simplify right side
    516,003.86x = 204,068,528,098.36
  5. Step 5: Solve for x
    x = 204,068,528,098.36/516,003.86
  6. Step 6: Final answer
    x = 395,478.69

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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.