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Finding the Fourth Proportional to 317,912.80, 438,726.92 and 174,663.76

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Solution

The fourth proportional to 317,912.80, 438,726.92 and 174,663.76 is: 241,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,912.80 : 438,726.92 = 174,663.76 : x
  2. Step 2: Convert to fraction form
    317,912.80/438,726.92 = 174,663.76/x
  3. Step 3: Cross multiply
    317,912.80x = 438,726.92 × 174,663.76
  4. Step 4: Simplify right side
    317,912.80x = 76,629,693,460.42
  5. Step 5: Solve for x
    x = 76,629,693,460.42/317,912.80
  6. Step 6: Final answer
    x = 241,039.98

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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.