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Finding the Fourth Proportional to 331,431.80, 497,228.70 and 153,901.40

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Solution

The fourth proportional to 331,431.80, 497,228.70 and 153,901.40 is: 230,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,431.80 : 497,228.70 = 153,901.40 : x
  2. Step 2: Convert to fraction form
    331,431.80/497,228.70 = 153,901.40/x
  3. Step 3: Cross multiply
    331,431.80x = 497,228.70 × 153,901.40
  4. Step 4: Simplify right side
    331,431.80x = 76,524,193,050.18
  5. Step 5: Solve for x
    x = 76,524,193,050.18/331,431.80
  6. Step 6: Final answer
    x = 230,889.71

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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.