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Finding the Fourth Proportional to 285,902.51, 428,689.68 and 108,296.24

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Solution

The fourth proportional to 285,902.51, 428,689.68 and 108,296.24 is: 162,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,902.51 : 428,689.68 = 108,296.24 : x
  2. Step 2: Convert to fraction form
    285,902.51/428,689.68 = 108,296.24/x
  3. Step 3: Cross multiply
    285,902.51x = 428,689.68 × 108,296.24
  4. Step 4: Simplify right side
    285,902.51x = 46,425,478,327.35
  5. Step 5: Solve for x
    x = 46,425,478,327.35/285,902.51
  6. Step 6: Final answer
    x = 162,382.20

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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.