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Finding the Fourth Proportional to 285,670.80, 428,535.36 and 98,658

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Solution

The fourth proportional to 285,670.80, 428,535.36 and 98,658 is: 147,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,670.80 : 428,535.36 = 98,658 : x
  2. Step 2: Convert to fraction form
    285,670.80/428,535.36 = 98,658/x
  3. Step 3: Cross multiply
    285,670.80x = 428,535.36 × 98,658
  4. Step 4: Simplify right side
    285,670.80x = 42,278,441,546.88
  5. Step 5: Solve for x
    x = 42,278,441,546.88/285,670.80
  6. Step 6: Final answer
    x = 147,997.07

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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.