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Finding the Fourth Proportional to 648,057.80, 970,385.70 and 457,489.10

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Solution

The fourth proportional to 648,057.80, 970,385.70 and 457,489.10 is: 685,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,057.80 : 970,385.70 = 457,489.10 : x
  2. Step 2: Convert to fraction form
    648,057.80/970,385.70 = 457,489.10/x
  3. Step 3: Cross multiply
    648,057.80x = 970,385.70 × 457,489.10
  4. Step 4: Simplify right side
    648,057.80x = 443,940,880,545.87
  5. Step 5: Solve for x
    x = 443,940,880,545.87/648,057.80
  6. Step 6: Final answer
    x = 685,032.85

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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.