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Finding the Fourth Proportional to 285,642.30, 428,500.72 and 105,703.24

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Solution

The fourth proportional to 285,642.30, 428,500.72 and 105,703.24 is: 158,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,642.30 : 428,500.72 = 105,703.24 : x
  2. Step 2: Convert to fraction form
    285,642.30/428,500.72 = 105,703.24/x
  3. Step 3: Cross multiply
    285,642.30x = 428,500.72 × 105,703.24
  4. Step 4: Simplify right side
    285,642.30x = 45,293,914,446.33
  5. Step 5: Solve for x
    x = 45,293,914,446.33/285,642.30
  6. Step 6: Final answer
    x = 158,568.65

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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.