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Finding the Fourth Proportional to 388,213.60, 582,123.48 and 177,671.20

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Solution

The fourth proportional to 388,213.60, 582,123.48 and 177,671.20 is: 266,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,213.60 : 582,123.48 = 177,671.20 : x
  2. Step 2: Convert to fraction form
    388,213.60/582,123.48 = 177,671.20/x
  3. Step 3: Cross multiply
    388,213.60x = 582,123.48 × 177,671.20
  4. Step 4: Simplify right side
    388,213.60x = 103,426,577,239.78
  5. Step 5: Solve for x
    x = 103,426,577,239.78/388,213.60
  6. Step 6: Final answer
    x = 266,416.68

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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.