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Finding the Fourth Proportional to 285,402.30, 427,804.56 and 95,816.13

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Solution

The fourth proportional to 285,402.30, 427,804.56 and 95,816.13 is: 143,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,402.30 : 427,804.56 = 95,816.13 : x
  2. Step 2: Convert to fraction form
    285,402.30/427,804.56 = 95,816.13/x
  3. Step 3: Cross multiply
    285,402.30x = 427,804.56 × 95,816.13
  4. Step 4: Simplify right side
    285,402.30x = 40,990,577,335.55
  5. Step 5: Solve for x
    x = 40,990,577,335.55/285,402.30
  6. Step 6: Final answer
    x = 143,623.85

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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.