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Finding the Fourth Proportional to 330,078.64, 495,038.31 and 152,414.86

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Solution

The fourth proportional to 330,078.64, 495,038.31 and 152,414.86 is: 228,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,078.64 : 495,038.31 = 152,414.86 : x
  2. Step 2: Convert to fraction form
    330,078.64/495,038.31 = 152,414.86/x
  3. Step 3: Cross multiply
    330,078.64x = 495,038.31 × 152,414.86
  4. Step 4: Simplify right side
    330,078.64x = 75,451,194,713.29
  5. Step 5: Solve for x
    x = 75,451,194,713.29/330,078.64
  6. Step 6: Final answer
    x = 228,585.51

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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.