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Finding the Fourth Proportional to 388,123.77, 582,152.31 and 236,281.44

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Solution

The fourth proportional to 388,123.77, 582,152.31 and 236,281.44 is: 354,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,123.77 : 582,152.31 = 236,281.44 : x
  2. Step 2: Convert to fraction form
    388,123.77/582,152.31 = 236,281.44/x
  3. Step 3: Cross multiply
    388,123.77x = 582,152.31 × 236,281.44
  4. Step 4: Simplify right side
    388,123.77x = 137,551,786,106.13
  5. Step 5: Solve for x
    x = 137,551,786,106.13/388,123.77
  6. Step 6: Final answer
    x = 354,401.86

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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.