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Finding the Fourth Proportional to 306,253.85, 459,379.17 and 78,548.40

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Solution

The fourth proportional to 306,253.85, 459,379.17 and 78,548.40 is: 117,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,253.85 : 459,379.17 = 78,548.40 : x
  2. Step 2: Convert to fraction form
    306,253.85/459,379.17 = 78,548.40/x
  3. Step 3: Cross multiply
    306,253.85x = 459,379.17 × 78,548.40
  4. Step 4: Simplify right side
    306,253.85x = 36,083,498,796.83
  5. Step 5: Solve for x
    x = 36,083,498,796.83/306,253.85
  6. Step 6: Final answer
    x = 117,822.19

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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.