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Finding the Fourth Proportional to 330,464.41, 495,707.31 and 157,318.54

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Solution

The fourth proportional to 330,464.41, 495,707.31 and 157,318.54 is: 235,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,464.41 : 495,707.31 = 157,318.54 : x
  2. Step 2: Convert to fraction form
    330,464.41/495,707.31 = 157,318.54/x
  3. Step 3: Cross multiply
    330,464.41x = 495,707.31 × 157,318.54
  4. Step 4: Simplify right side
    330,464.41x = 77,983,949,037.26
  5. Step 5: Solve for x
    x = 77,983,949,037.26/330,464.41
  6. Step 6: Final answer
    x = 235,982.90

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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.