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Finding the Fourth Proportional to 231,497.76, 319,490.72 and 140,860.32

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Solution

The fourth proportional to 231,497.76, 319,490.72 and 140,860.32 is: 194,401.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,497.76 : 319,490.72 = 140,860.32 : x
  2. Step 2: Convert to fraction form
    231,497.76/319,490.72 = 140,860.32/x
  3. Step 3: Cross multiply
    231,497.76x = 319,490.72 × 140,860.32
  4. Step 4: Simplify right side
    231,497.76x = 45,003,565,056.23
  5. Step 5: Solve for x
    x = 45,003,565,056.23/231,497.76
  6. Step 6: Final answer
    x = 194,401.73

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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.