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Finding the Fourth Proportional to 399,706.44, 551,601.24 and 238,655.76

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Solution

The fourth proportional to 399,706.44, 551,601.24 and 238,655.76 is: 329,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,706.44 : 551,601.24 = 238,655.76 : x
  2. Step 2: Convert to fraction form
    399,706.44/551,601.24 = 238,655.76/x
  3. Step 3: Cross multiply
    399,706.44x = 551,601.24 × 238,655.76
  4. Step 4: Simplify right side
    399,706.44x = 131,642,813,149.14
  5. Step 5: Solve for x
    x = 131,642,813,149.14/399,706.44
  6. Step 6: Final answer
    x = 329,348.74

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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.