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Finding the Fourth Proportional to 516,898.65, 775,245.77 and 491,265.30

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Solution

The fourth proportional to 516,898.65, 775,245.77 and 491,265.30 is: 736,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,898.65 : 775,245.77 = 491,265.30 : x
  2. Step 2: Convert to fraction form
    516,898.65/775,245.77 = 491,265.30/x
  3. Step 3: Cross multiply
    516,898.65x = 775,245.77 × 491,265.30
  4. Step 4: Simplify right side
    516,898.65x = 380,851,347,000.94
  5. Step 5: Solve for x
    x = 380,851,347,000.94/516,898.65
  6. Step 6: Final answer
    x = 736,800.82

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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.