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Finding the Fourth Proportional to 442,854.36, 664,318.86 and 139,318.20

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Solution

The fourth proportional to 442,854.36, 664,318.86 and 139,318.20 is: 208,989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,854.36 : 664,318.86 = 139,318.20 : x
  2. Step 2: Convert to fraction form
    442,854.36/664,318.86 = 139,318.20/x
  3. Step 3: Cross multiply
    442,854.36x = 664,318.86 × 139,318.20
  4. Step 4: Simplify right side
    442,854.36x = 92,551,707,801.25
  5. Step 5: Solve for x
    x = 92,551,707,801.25/442,854.36
  6. Step 6: Final answer
    x = 208,989.04

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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.