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Finding the Fourth Proportional to 232,959.78, 320,691.12 and 172,416.33

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Solution

The fourth proportional to 232,959.78, 320,691.12 and 172,416.33 is: 237,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,959.78 : 320,691.12 = 172,416.33 : x
  2. Step 2: Convert to fraction form
    232,959.78/320,691.12 = 172,416.33/x
  3. Step 3: Cross multiply
    232,959.78x = 320,691.12 × 172,416.33
  4. Step 4: Simplify right side
    232,959.78x = 55,292,385,973.99
  5. Step 5: Solve for x
    x = 55,292,385,973.99/232,959.78
  6. Step 6: Final answer
    x = 237,347.35

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1.5x scale

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.