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Finding the Fourth Proportional to 386,374.60, 578,640.30 and 189,152.20

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Solution

The fourth proportional to 386,374.60, 578,640.30 and 189,152.20 is: 283,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,374.60 : 578,640.30 = 189,152.20 : x
  2. Step 2: Convert to fraction form
    386,374.60/578,640.30 = 189,152.20/x
  3. Step 3: Cross multiply
    386,374.60x = 578,640.30 × 189,152.20
  4. Step 4: Simplify right side
    386,374.60x = 109,451,085,753.66
  5. Step 5: Solve for x
    x = 109,451,085,753.66/386,374.60
  6. Step 6: Final answer
    x = 283,277.12

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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.