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Finding the Fourth Proportional to 285,543.64, 428,014.05 and 95,824.13

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Solution

The fourth proportional to 285,543.64, 428,014.05 and 95,824.13 is: 143,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,543.64 : 428,014.05 = 95,824.13 : x
  2. Step 2: Convert to fraction form
    285,543.64/428,014.05 = 95,824.13/x
  3. Step 3: Cross multiply
    285,543.64x = 428,014.05 × 95,824.13
  4. Step 4: Simplify right side
    285,543.64x = 41,014,073,969.03
  5. Step 5: Solve for x
    x = 41,014,073,969.03/285,543.64
  6. Step 6: Final answer
    x = 143,635.05

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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.