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Finding the Fourth Proportional to 386,371.60, 578,635.80 and 189,149.20

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Solution

The fourth proportional to 386,371.60, 578,635.80 and 189,149.20 is: 283,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,371.60 : 578,635.80 = 189,149.20 : x
  2. Step 2: Convert to fraction form
    386,371.60/578,635.80 = 189,149.20/x
  3. Step 3: Cross multiply
    386,371.60x = 578,635.80 × 189,149.20
  4. Step 4: Simplify right side
    386,371.60x = 109,448,498,661.36
  5. Step 5: Solve for x
    x = 109,448,498,661.36/386,371.60
  6. Step 6: Final answer
    x = 283,272.63

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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.