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Finding the Fourth Proportional to 285,454.83, 428,182.25 and 98,451.75

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Solution

The fourth proportional to 285,454.83, 428,182.25 and 98,451.75 is: 147,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,454.83 : 428,182.25 = 98,451.75 : x
  2. Step 2: Convert to fraction form
    285,454.83/428,182.25 = 98,451.75/x
  3. Step 3: Cross multiply
    285,454.83x = 428,182.25 × 98,451.75
  4. Step 4: Simplify right side
    285,454.83x = 42,155,291,339.18
  5. Step 5: Solve for x
    x = 42,155,291,339.18/285,454.83
  6. Step 6: Final answer
    x = 147,677.63

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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.