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Finding the Fourth Proportional to 285,505.10, 428,257.65 and 274,618.70

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Solution

The fourth proportional to 285,505.10, 428,257.65 and 274,618.70 is: 411,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,505.10 : 428,257.65 = 274,618.70 : x
  2. Step 2: Convert to fraction form
    285,505.10/428,257.65 = 274,618.70/x
  3. Step 3: Cross multiply
    285,505.10x = 428,257.65 × 274,618.70
  4. Step 4: Simplify right side
    285,505.10x = 117,607,559,108.06
  5. Step 5: Solve for x
    x = 117,607,559,108.06/285,505.10
  6. Step 6: Final answer
    x = 411,928.05

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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.