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Finding the Fourth Proportional to 438,808.64, 658,451.10 and 186,231.20

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Solution

The fourth proportional to 438,808.64, 658,451.10 and 186,231.20 is: 279,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,808.64 : 658,451.10 = 186,231.20 : x
  2. Step 2: Convert to fraction form
    438,808.64/658,451.10 = 186,231.20/x
  3. Step 3: Cross multiply
    438,808.64x = 658,451.10 × 186,231.20
  4. Step 4: Simplify right side
    438,808.64x = 122,624,138,494.32
  5. Step 5: Solve for x
    x = 122,624,138,494.32/438,808.64
  6. Step 6: Final answer
    x = 279,447.87

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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.