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Finding the Fourth Proportional to 287,706.86, 431,684.76 and 154,431.48

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Solution

The fourth proportional to 287,706.86, 431,684.76 and 154,431.48 is: 231,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,706.86 : 431,684.76 = 154,431.48 : x
  2. Step 2: Convert to fraction form
    287,706.86/431,684.76 = 154,431.48/x
  3. Step 3: Cross multiply
    287,706.86x = 431,684.76 × 154,431.48
  4. Step 4: Simplify right side
    287,706.86x = 66,665,716,380.24
  5. Step 5: Solve for x
    x = 66,665,716,380.24/287,706.86
  6. Step 6: Final answer
    x = 231,714.04

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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.