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Finding the Fourth Proportional to 231,262.54, 319,240.68 and 140,647.61

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Solution

The fourth proportional to 231,262.54, 319,240.68 and 140,647.61 is: 194,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,262.54 : 319,240.68 = 140,647.61 : x
  2. Step 2: Convert to fraction form
    231,262.54/319,240.68 = 140,647.61/x
  3. Step 3: Cross multiply
    231,262.54x = 319,240.68 × 140,647.61
  4. Step 4: Simplify right side
    231,262.54x = 44,900,438,656.77
  5. Step 5: Solve for x
    x = 44,900,438,656.77/231,262.54
  6. Step 6: Final answer
    x = 194,153.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.