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Finding the Fourth Proportional to 317,561.76, 438,207.84 and 174,321.36

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Solution

The fourth proportional to 317,561.76, 438,207.84 and 174,321.36 is: 240,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,561.76 : 438,207.84 = 174,321.36 : x
  2. Step 2: Convert to fraction form
    317,561.76/438,207.84 = 174,321.36/x
  3. Step 3: Cross multiply
    317,561.76x = 438,207.84 × 174,321.36
  4. Step 4: Simplify right side
    317,561.76x = 76,388,986,631.46
  5. Step 5: Solve for x
    x = 76,388,986,631.46/317,561.76
  6. Step 6: Final answer
    x = 240,548.44

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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.