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Finding the Fourth Proportional to 527,264, 727,626.88 and 288,800

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Solution

The fourth proportional to 527,264, 727,626.88 and 288,800 is: 398,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,264 : 727,626.88 = 288,800 : x
  2. Step 2: Convert to fraction form
    527,264/727,626.88 = 288,800/x
  3. Step 3: Cross multiply
    527,264x = 727,626.88 × 288,800
  4. Step 4: Simplify right side
    527,264x = 210,138,642,944
  5. Step 5: Solve for x
    x = 210,138,642,944/527,264
  6. Step 6: Final answer
    x = 398,545.40

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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.