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Finding the Fourth Proportional to 387,234.40, 580,585.20 and 197,327.20

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Solution

The fourth proportional to 387,234.40, 580,585.20 and 197,327.20 is: 295,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,234.40 : 580,585.20 = 197,327.20 : x
  2. Step 2: Convert to fraction form
    387,234.40/580,585.20 = 197,327.20/x
  3. Step 3: Cross multiply
    387,234.40x = 580,585.20 × 197,327.20
  4. Step 4: Simplify right side
    387,234.40x = 114,565,251,877.44
  5. Step 5: Solve for x
    x = 114,565,251,877.44/387,234.40
  6. Step 6: Final answer
    x = 295,855.05

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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.