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Finding the Fourth Proportional to 329,965.20, 495,009.36 and 152,354.88

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Solution

The fourth proportional to 329,965.20, 495,009.36 and 152,354.88 is: 228,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,965.20 : 495,009.36 = 152,354.88 : x
  2. Step 2: Convert to fraction form
    329,965.20/495,009.36 = 152,354.88/x
  3. Step 3: Cross multiply
    329,965.20x = 495,009.36 × 152,354.88
  4. Step 4: Simplify right side
    329,965.20x = 75,417,091,641.68
  5. Step 5: Solve for x
    x = 75,417,091,641.68/329,965.20
  6. Step 6: Final answer
    x = 228,560.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.