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Finding the Fourth Proportional to 442,887.40, 664,331.10 and 354,313.90

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Solution

The fourth proportional to 442,887.40, 664,331.10 and 354,313.90 is: 531,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,887.40 : 664,331.10 = 354,313.90 : x
  2. Step 2: Convert to fraction form
    442,887.40/664,331.10 = 354,313.90/x
  3. Step 3: Cross multiply
    442,887.40x = 664,331.10 × 354,313.90
  4. Step 4: Simplify right side
    442,887.40x = 235,381,742,932.29
  5. Step 5: Solve for x
    x = 235,381,742,932.29/442,887.40
  6. Step 6: Final answer
    x = 531,470.85

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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.