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Finding the Fourth Proportional to 499,687.12, 748,329.66 and 285,806.86

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Solution

The fourth proportional to 499,687.12, 748,329.66 and 285,806.86 is: 428,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,687.12 : 748,329.66 = 285,806.86 : x
  2. Step 2: Convert to fraction form
    499,687.12/748,329.66 = 285,806.86/x
  3. Step 3: Cross multiply
    499,687.12x = 748,329.66 × 285,806.86
  4. Step 4: Simplify right side
    499,687.12x = 213,877,750,369.47
  5. Step 5: Solve for x
    x = 213,877,750,369.47/499,687.12
  6. Step 6: Final answer
    x = 428,023.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.