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Finding the Fourth Proportional to 527,090.16, 727,384.92 and 285,372.90

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Solution

The fourth proportional to 527,090.16, 727,384.92 and 285,372.90 is: 393,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,090.16 : 727,384.92 = 285,372.90 : x
  2. Step 2: Convert to fraction form
    527,090.16/727,384.92 = 285,372.90/x
  3. Step 3: Cross multiply
    527,090.16x = 727,384.92 × 285,372.90
  4. Step 4: Simplify right side
    527,090.16x = 207,575,944,036.67
  5. Step 5: Solve for x
    x = 207,575,944,036.67/527,090.16
  6. Step 6: Final answer
    x = 393,814.87

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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.