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Finding the Fourth Proportional to 231,489.76, 319,479.68 and 140,852.32

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Solution

The fourth proportional to 231,489.76, 319,479.68 and 140,852.32 is: 194,390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,489.76 : 319,479.68 = 140,852.32 : x
  2. Step 2: Convert to fraction form
    231,489.76/319,479.68 = 140,852.32/x
  3. Step 3: Cross multiply
    231,489.76x = 319,479.68 × 140,852.32
  4. Step 4: Simplify right side
    231,489.76x = 44,999,454,120.86
  5. Step 5: Solve for x
    x = 44,999,454,120.86/231,489.76
  6. Step 6: Final answer
    x = 194,390.69

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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.