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Finding the Fourth Proportional to 647,501.80, 971,532.15 and 347,631.91

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Solution

The fourth proportional to 647,501.80, 971,532.15 and 347,631.91 is: 521,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,501.80 : 971,532.15 = 347,631.91 : x
  2. Step 2: Convert to fraction form
    647,501.80/971,532.15 = 347,631.91/x
  3. Step 3: Cross multiply
    647,501.80x = 971,532.15 × 347,631.91
  4. Step 4: Simplify right side
    647,501.80x = 337,735,576,930.91
  5. Step 5: Solve for x
    x = 337,735,576,930.91/647,501.80
  6. Step 6: Final answer
    x = 521,597.90

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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.