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Finding the Fourth Proportional to 285,943.67, 428,616.20 and 96,338.51

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Solution

The fourth proportional to 285,943.67, 428,616.20 and 96,338.51 is: 144,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,943.67 : 428,616.20 = 96,338.51 : x
  2. Step 2: Convert to fraction form
    285,943.67/428,616.20 = 96,338.51/x
  3. Step 3: Cross multiply
    285,943.67x = 428,616.20 × 96,338.51
  4. Step 4: Simplify right side
    285,943.67x = 41,292,246,069.86
  5. Step 5: Solve for x
    x = 41,292,246,069.86/285,943.67
  6. Step 6: Final answer
    x = 144,406.92

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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.