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Finding the Fourth Proportional to 285,625.86, 428,289.03 and 98,592.90

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Solution

The fourth proportional to 285,625.86, 428,289.03 and 98,592.90 is: 147,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,625.86 : 428,289.03 = 98,592.90 : x
  2. Step 2: Convert to fraction form
    285,625.86/428,289.03 = 98,592.90/x
  3. Step 3: Cross multiply
    285,625.86x = 428,289.03 × 98,592.90
  4. Step 4: Simplify right side
    285,625.86x = 42,226,257,505.89
  5. Step 5: Solve for x
    x = 42,226,257,505.89/285,625.86
  6. Step 6: Final answer
    x = 147,837.66

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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.