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Finding the Fourth Proportional to 311,827.64, 430,322.17 and 168,587.64

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Solution

The fourth proportional to 311,827.64, 430,322.17 and 168,587.64 is: 232,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,827.64 : 430,322.17 = 168,587.64 : x
  2. Step 2: Convert to fraction form
    311,827.64/430,322.17 = 168,587.64/x
  3. Step 3: Cross multiply
    311,827.64x = 430,322.17 × 168,587.64
  4. Step 4: Simplify right side
    311,827.64x = 72,546,999,079.98
  5. Step 5: Solve for x
    x = 72,546,999,079.98/311,827.64
  6. Step 6: Final answer
    x = 232,650.96

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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.