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Finding the Fourth Proportional to 385,897.76, 532,724.01 and 271,274.66

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Solution

The fourth proportional to 385,897.76, 532,724.01 and 271,274.66 is: 374,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,897.76 : 532,724.01 = 271,274.66 : x
  2. Step 2: Convert to fraction form
    385,897.76/532,724.01 = 271,274.66/x
  3. Step 3: Cross multiply
    385,897.76x = 532,724.01 × 271,274.66
  4. Step 4: Simplify right side
    385,897.76x = 144,514,524,686.59
  5. Step 5: Solve for x
    x = 144,514,524,686.59/385,897.76
  6. Step 6: Final answer
    x = 374,489.15

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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.