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Finding the Fourth Proportional to 266,439.30, 399,607.08 and 76,886.34

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Solution

The fourth proportional to 266,439.30, 399,607.08 and 76,886.34 is: 115,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,439.30 : 399,607.08 = 76,886.34 : x
  2. Step 2: Convert to fraction form
    266,439.30/399,607.08 = 76,886.34/x
  3. Step 3: Cross multiply
    266,439.30x = 399,607.08 × 76,886.34
  4. Step 4: Simplify right side
    266,439.30x = 30,724,325,819.29
  5. Step 5: Solve for x
    x = 30,724,325,819.29/266,439.30
  6. Step 6: Final answer
    x = 115,314.54

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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.