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Finding the Fourth Proportional to 442,811.40, 664,217.10 and 354,237.90

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Solution

The fourth proportional to 442,811.40, 664,217.10 and 354,237.90 is: 531,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,811.40 : 664,217.10 = 354,237.90 : x
  2. Step 2: Convert to fraction form
    442,811.40/664,217.10 = 354,237.90/x
  3. Step 3: Cross multiply
    442,811.40x = 664,217.10 × 354,237.90
  4. Step 4: Simplify right side
    442,811.40x = 235,290,870,648.09
  5. Step 5: Solve for x
    x = 235,290,870,648.09/442,811.40
  6. Step 6: Final answer
    x = 531,356.85

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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.