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Finding the Fourth Proportional to 527,998.32, 728,640.92 and 286,278.76

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Solution

The fourth proportional to 527,998.32, 728,640.92 and 286,278.76 is: 395,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,998.32 : 728,640.92 = 286,278.76 : x
  2. Step 2: Convert to fraction form
    527,998.32/728,640.92 = 286,278.76/x
  3. Step 3: Cross multiply
    527,998.32x = 728,640.92 × 286,278.76
  4. Step 4: Simplify right side
    527,998.32x = 208,594,419,062.86
  5. Step 5: Solve for x
    x = 208,594,419,062.86/527,998.32
  6. Step 6: Final answer
    x = 395,066.44

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Double scale
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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.