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Finding the Fourth Proportional to 330,130.34, 495,069.14 and 140,472.08

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Solution

The fourth proportional to 330,130.34, 495,069.14 and 140,472.08 is: 210,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,130.34 : 495,069.14 = 140,472.08 : x
  2. Step 2: Convert to fraction form
    330,130.34/495,069.14 = 140,472.08/x
  3. Step 3: Cross multiply
    330,130.34x = 495,069.14 × 140,472.08
  4. Step 4: Simplify right side
    330,130.34x = 69,543,391,839.61
  5. Step 5: Solve for x
    x = 69,543,391,839.61/330,130.34
  6. Step 6: Final answer
    x = 210,654.35

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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.