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Finding the Fourth Proportional to 312,311.88, 430,990.32 and 169,071.78

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Solution

The fourth proportional to 312,311.88, 430,990.32 and 169,071.78 is: 233,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,311.88 : 430,990.32 = 169,071.78 : x
  2. Step 2: Convert to fraction form
    312,311.88/430,990.32 = 169,071.78/x
  3. Step 3: Cross multiply
    312,311.88x = 430,990.32 × 169,071.78
  4. Step 4: Simplify right side
    312,311.88x = 72,868,300,565.17
  5. Step 5: Solve for x
    x = 72,868,300,565.17/312,311.88
  6. Step 6: Final answer
    x = 233,319.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.