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Finding the Fourth Proportional to 317,439.46, 438,065.16 and 174,201.89

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Solution

The fourth proportional to 317,439.46, 438,065.16 and 174,201.89 is: 240,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,439.46 : 438,065.16 = 174,201.89 : x
  2. Step 2: Convert to fraction form
    317,439.46/438,065.16 = 174,201.89/x
  3. Step 3: Cross multiply
    317,439.46x = 438,065.16 × 174,201.89
  4. Step 4: Simplify right side
    317,439.46x = 76,311,778,815.15
  5. Step 5: Solve for x
    x = 76,311,778,815.15/317,439.46
  6. Step 6: Final answer
    x = 240,397.90

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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.