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Finding the Fourth Proportional to 330,123.05, 495,255.65 and 102,414.05

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Solution

The fourth proportional to 330,123.05, 495,255.65 and 102,414.05 is: 153,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,123.05 : 495,255.65 = 102,414.05 : x
  2. Step 2: Convert to fraction form
    330,123.05/495,255.65 = 102,414.05/x
  3. Step 3: Cross multiply
    330,123.05x = 495,255.65 × 102,414.05
  4. Step 4: Simplify right side
    330,123.05x = 50,721,133,913.53
  5. Step 5: Solve for x
    x = 50,721,133,913.53/330,123.05
  6. Step 6: Final answer
    x = 153,643.12

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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.