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Finding the Fourth Proportional to 388,214.60, 582,124.98 and 177,672.20

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Solution

The fourth proportional to 388,214.60, 582,124.98 and 177,672.20 is: 266,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,214.60 : 582,124.98 = 177,672.20 : x
  2. Step 2: Convert to fraction form
    388,214.60/582,124.98 = 177,672.20/x
  3. Step 3: Cross multiply
    388,214.60x = 582,124.98 × 177,672.20
  4. Step 4: Simplify right side
    388,214.60x = 103,427,425,871.56
  5. Step 5: Solve for x
    x = 103,427,425,871.56/388,214.60
  6. Step 6: Final answer
    x = 266,418.18

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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.