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Finding the Fourth Proportional to 648,021.80, 970,331.70 and 457,453.10

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Solution

The fourth proportional to 648,021.80, 970,331.70 and 457,453.10 is: 684,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,021.80 : 970,331.70 = 457,453.10 : x
  2. Step 2: Convert to fraction form
    648,021.80/970,331.70 = 457,453.10/x
  3. Step 3: Cross multiply
    648,021.80x = 970,331.70 × 457,453.10
  4. Step 4: Simplify right side
    648,021.80x = 443,881,244,193.27
  5. Step 5: Solve for x
    x = 443,881,244,193.27/648,021.80
  6. Step 6: Final answer
    x = 684,978.88

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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.