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Finding the Fourth Proportional to 317,686.95, 438,379.43 and 174,443.85

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Solution

The fourth proportional to 317,686.95, 438,379.43 and 174,443.85 is: 240,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,686.95 : 438,379.43 = 174,443.85 : x
  2. Step 2: Convert to fraction form
    317,686.95/438,379.43 = 174,443.85/x
  3. Step 3: Cross multiply
    317,686.95x = 438,379.43 × 174,443.85
  4. Step 4: Simplify right side
    317,686.95x = 76,472,594,657.79
  5. Step 5: Solve for x
    x = 76,472,594,657.79/317,686.95
  6. Step 6: Final answer
    x = 240,716.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.