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Finding the Fourth Proportional to 410,079, 615,118.50 and 114,591

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Solution

The fourth proportional to 410,079, 615,118.50 and 114,591 is: 171,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,079 : 615,118.50 = 114,591 : x
  2. Step 2: Convert to fraction form
    410,079/615,118.50 = 114,591/x
  3. Step 3: Cross multiply
    410,079x = 615,118.50 × 114,591
  4. Step 4: Simplify right side
    410,079x = 70,487,044,033.50
  5. Step 5: Solve for x
    x = 70,487,044,033.50/410,079
  6. Step 6: Final answer
    x = 171,886.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.