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Finding the Fourth Proportional to 330,097.76, 495,330.58 and 178,291.78

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Solution

The fourth proportional to 330,097.76, 495,330.58 and 178,291.78 is: 267,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,097.76 : 495,330.58 = 178,291.78 : x
  2. Step 2: Convert to fraction form
    330,097.76/495,330.58 = 178,291.78/x
  3. Step 3: Cross multiply
    330,097.76x = 495,330.58 × 178,291.78
  4. Step 4: Simplify right side
    330,097.76x = 88,313,369,781.17
  5. Step 5: Solve for x
    x = 88,313,369,781.17/330,097.76
  6. Step 6: Final answer
    x = 267,537.02

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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.