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Finding the Fourth Proportional to 285,503.06, 428,254.90 and 85,823.42

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Solution

The fourth proportional to 285,503.06, 428,254.90 and 85,823.42 is: 128,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,503.06 : 428,254.90 = 85,823.42 : x
  2. Step 2: Convert to fraction form
    285,503.06/428,254.90 = 85,823.42/x
  3. Step 3: Cross multiply
    285,503.06x = 428,254.90 × 85,823.42
  4. Step 4: Simplify right side
    285,503.06x = 36,754,299,399.88
  5. Step 5: Solve for x
    x = 36,754,299,399.88/285,503.06
  6. Step 6: Final answer
    x = 128,735.22

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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.