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Finding the Fourth Proportional to 285,511.60, 428,267.40 and 274,625.20

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Solution

The fourth proportional to 285,511.60, 428,267.40 and 274,625.20 is: 411,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,511.60 : 428,267.40 = 274,625.20 : x
  2. Step 2: Convert to fraction form
    285,511.60/428,267.40 = 274,625.20/x
  3. Step 3: Cross multiply
    285,511.60x = 428,267.40 × 274,625.20
  4. Step 4: Simplify right side
    285,511.60x = 117,613,020,378.48
  5. Step 5: Solve for x
    x = 117,613,020,378.48/285,511.60
  6. Step 6: Final answer
    x = 411,937.80

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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.