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Finding the Fourth Proportional to 288,863.46, 433,207.71 and 78,474.06

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Solution

The fourth proportional to 288,863.46, 433,207.71 and 78,474.06 is: 117,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,863.46 : 433,207.71 = 78,474.06 : x
  2. Step 2: Convert to fraction form
    288,863.46/433,207.71 = 78,474.06/x
  3. Step 3: Cross multiply
    288,863.46x = 433,207.71 × 78,474.06
  4. Step 4: Simplify right side
    288,863.46x = 33,995,567,827.00
  5. Step 5: Solve for x
    x = 33,995,567,827.00/288,863.46
  6. Step 6: Final answer
    x = 117,687.32

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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.