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Finding the Fourth Proportional to 317,471.72, 438,109.70 and 174,234.12

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Solution

The fourth proportional to 317,471.72, 438,109.70 and 174,234.12 is: 240,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,471.72 : 438,109.70 = 174,234.12 : x
  2. Step 2: Convert to fraction form
    317,471.72/438,109.70 = 174,234.12/x
  3. Step 3: Cross multiply
    317,471.72x = 438,109.70 × 174,234.12
  4. Step 4: Simplify right side
    317,471.72x = 76,333,658,042.96
  5. Step 5: Solve for x
    x = 76,333,658,042.96/317,471.72
  6. Step 6: Final answer
    x = 240,442.39

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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.