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Finding the Fourth Proportional to 317,468.72, 438,112.17 and 174,242.09

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Solution

The fourth proportional to 317,468.72, 438,112.17 and 174,242.09 is: 240,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,468.72 : 438,112.17 = 174,242.09 : x
  2. Step 2: Convert to fraction form
    317,468.72/438,112.17 = 174,242.09/x
  3. Step 3: Cross multiply
    317,468.72x = 438,112.17 × 174,242.09
  4. Step 4: Simplify right side
    317,468.72x = 76,337,577,964.67
  5. Step 5: Solve for x
    x = 76,337,577,964.67/317,468.72
  6. Step 6: Final answer
    x = 240,457.01

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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.