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Finding the Fourth Proportional to 647,937, 972,200.76 and 332,615.52

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Solution

The fourth proportional to 647,937, 972,200.76 and 332,615.52 is: 499,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,937 : 972,200.76 = 332,615.52 : x
  2. Step 2: Convert to fraction form
    647,937/972,200.76 = 332,615.52/x
  3. Step 3: Cross multiply
    647,937x = 972,200.76 × 332,615.52
  4. Step 4: Simplify right side
    647,937x = 323,369,061,331.80
  5. Step 5: Solve for x
    x = 323,369,061,331.80/647,937
  6. Step 6: Final answer
    x = 499,074.85

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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.