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Finding the Fourth Proportional to 442,854.86, 664,319.61 and 139,318.70

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Solution

The fourth proportional to 442,854.86, 664,319.61 and 139,318.70 is: 208,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,854.86 : 664,319.61 = 139,318.70 : x
  2. Step 2: Convert to fraction form
    442,854.86/664,319.61 = 139,318.70/x
  3. Step 3: Cross multiply
    442,854.86x = 664,319.61 × 139,318.70
  4. Step 4: Simplify right side
    442,854.86x = 92,552,144,449.71
  5. Step 5: Solve for x
    x = 92,552,144,449.71/442,854.86
  6. Step 6: Final answer
    x = 208,989.79

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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.