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Finding the Fourth Proportional to 285,379.20, 428,068.56 and 98,376

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Solution

The fourth proportional to 285,379.20, 428,068.56 and 98,376 is: 147,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,379.20 : 428,068.56 = 98,376 : x
  2. Step 2: Convert to fraction form
    285,379.20/428,068.56 = 98,376/x
  3. Step 3: Cross multiply
    285,379.20x = 428,068.56 × 98,376
  4. Step 4: Simplify right side
    285,379.20x = 42,111,672,658.56
  5. Step 5: Solve for x
    x = 42,111,672,658.56/285,379.20
  6. Step 6: Final answer
    x = 147,563.92

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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.