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Finding the Fourth Proportional to 231,770.76, 319,848.18 and 151,249.80

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Solution

The fourth proportional to 231,770.76, 319,848.18 and 151,249.80 is: 208,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,770.76 : 319,848.18 = 151,249.80 : x
  2. Step 2: Convert to fraction form
    231,770.76/319,848.18 = 151,249.80/x
  3. Step 3: Cross multiply
    231,770.76x = 319,848.18 × 151,249.80
  4. Step 4: Simplify right side
    231,770.76x = 48,376,973,255.36
  5. Step 5: Solve for x
    x = 48,376,973,255.36/231,770.76
  6. Step 6: Final answer
    x = 208,727.68

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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.