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Finding the Fourth Proportional to 306,773.76, 423,337.28 and 172,611.84

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Solution

The fourth proportional to 306,773.76, 423,337.28 and 172,611.84 is: 238,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,773.76 : 423,337.28 = 172,611.84 : x
  2. Step 2: Convert to fraction form
    306,773.76/423,337.28 = 172,611.84/x
  3. Step 3: Cross multiply
    306,773.76x = 423,337.28 × 172,611.84
  4. Step 4: Simplify right side
    306,773.76x = 73,073,026,841.40
  5. Step 5: Solve for x
    x = 73,073,026,841.40/306,773.76
  6. Step 6: Final answer
    x = 238,198.43

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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.