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Finding the Fourth Proportional to 285,952.71, 428,994.96 and 98,964.21

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Solution

The fourth proportional to 285,952.71, 428,994.96 and 98,964.21 is: 148,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,952.71 : 428,994.96 = 98,964.21 : x
  2. Step 2: Convert to fraction form
    285,952.71/428,994.96 = 98,964.21/x
  3. Step 3: Cross multiply
    285,952.71x = 428,994.96 × 98,964.21
  4. Step 4: Simplify right side
    285,952.71x = 42,455,147,310.38
  5. Step 5: Solve for x
    x = 42,455,147,310.38/285,952.71
  6. Step 6: Final answer
    x = 148,469.12

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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.