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Finding the Fourth Proportional to 317,405.52, 438,048 and 174,193.47

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Solution

The fourth proportional to 317,405.52, 438,048 and 174,193.47 is: 240,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,405.52 : 438,048 = 174,193.47 : x
  2. Step 2: Convert to fraction form
    317,405.52/438,048 = 174,193.47/x
  3. Step 3: Cross multiply
    317,405.52x = 438,048 × 174,193.47
  4. Step 4: Simplify right side
    317,405.52x = 76,305,101,146.56
  5. Step 5: Solve for x
    x = 76,305,101,146.56/317,405.52
  6. Step 6: Final answer
    x = 240,402.56

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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.