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Finding the Fourth Proportional to 331,435.80, 497,234.70 and 153,905.40

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Solution

The fourth proportional to 331,435.80, 497,234.70 and 153,905.40 is: 230,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,435.80 : 497,234.70 = 153,905.40 : x
  2. Step 2: Convert to fraction form
    331,435.80/497,234.70 = 153,905.40/x
  3. Step 3: Cross multiply
    331,435.80x = 497,234.70 × 153,905.40
  4. Step 4: Simplify right side
    331,435.80x = 76,527,105,397.38
  5. Step 5: Solve for x
    x = 76,527,105,397.38/331,435.80
  6. Step 6: Final answer
    x = 230,895.71

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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.