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Finding the Fourth Proportional to 317,513.55, 438,167.16 and 174,276

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Solution

The fourth proportional to 317,513.55, 438,167.16 and 174,276 is: 240,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,513.55 : 438,167.16 = 174,276 : x
  2. Step 2: Convert to fraction form
    317,513.55/438,167.16 = 174,276/x
  3. Step 3: Cross multiply
    317,513.55x = 438,167.16 × 174,276
  4. Step 4: Simplify right side
    317,513.55x = 76,362,019,976.16
  5. Step 5: Solve for x
    x = 76,362,019,976.16/317,513.55
  6. Step 6: Final answer
    x = 240,500.04

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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.