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Finding the Fourth Proportional to 229,416, 316,456.80 and 144,385.44

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Solution

The fourth proportional to 229,416, 316,456.80 and 144,385.44 is: 199,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,416 : 316,456.80 = 144,385.44 : x
  2. Step 2: Convert to fraction form
    229,416/316,456.80 = 144,385.44/x
  3. Step 3: Cross multiply
    229,416x = 316,456.80 × 144,385.44
  4. Step 4: Simplify right side
    229,416x = 45,691,754,308.99
  5. Step 5: Solve for x
    x = 45,691,754,308.99/229,416
  6. Step 6: Final answer
    x = 199,165.51

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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.