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Finding the Fourth Proportional to 285,723.64, 428,543.34 and 75,376.36

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Solution

The fourth proportional to 285,723.64, 428,543.34 and 75,376.36 is: 113,053.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,723.64 : 428,543.34 = 75,376.36 : x
  2. Step 2: Convert to fraction form
    285,723.64/428,543.34 = 75,376.36/x
  3. Step 3: Cross multiply
    285,723.64x = 428,543.34 × 75,376.36
  4. Step 4: Simplify right side
    285,723.64x = 32,302,037,071.44
  5. Step 5: Solve for x
    x = 32,302,037,071.44/285,723.64
  6. Step 6: Final answer
    x = 113,053.43

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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.