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Finding the Fourth Proportional to 527,418.34, 727,840.79 and 285,700.91

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Solution

The fourth proportional to 527,418.34, 727,840.79 and 285,700.91 is: 394,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,418.34 : 727,840.79 = 285,700.91 : x
  2. Step 2: Convert to fraction form
    527,418.34/727,840.79 = 285,700.91/x
  3. Step 3: Cross multiply
    527,418.34x = 727,840.79 × 285,700.91
  4. Step 4: Simplify right side
    527,418.34x = 207,944,772,041.79
  5. Step 5: Solve for x
    x = 207,944,772,041.79/527,418.34
  6. Step 6: Final answer
    x = 394,269.14

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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.