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Finding the Fourth Proportional to 330,146.63, 495,388.83 and 157,234.13

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Solution

The fourth proportional to 330,146.63, 495,388.83 and 157,234.13 is: 235,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,146.63 : 495,388.83 = 157,234.13 : x
  2. Step 2: Convert to fraction form
    330,146.63/495,388.83 = 157,234.13/x
  3. Step 3: Cross multiply
    330,146.63x = 495,388.83 × 157,234.13
  4. Step 4: Simplify right side
    330,146.63x = 77,892,029,219.82
  5. Step 5: Solve for x
    x = 77,892,029,219.82/330,146.63
  6. Step 6: Final answer
    x = 235,931.62

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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.