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Finding the Fourth Proportional to 285,482.64, 428,230.89 and 95,945.76

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Solution

The fourth proportional to 285,482.64, 428,230.89 and 95,945.76 is: 143,920.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,482.64 : 428,230.89 = 95,945.76 : x
  2. Step 2: Convert to fraction form
    285,482.64/428,230.89 = 95,945.76/x
  3. Step 3: Cross multiply
    285,482.64x = 428,230.89 × 95,945.76
  4. Step 4: Simplify right side
    285,482.64x = 41,086,938,196.53
  5. Step 5: Solve for x
    x = 41,086,938,196.53/285,482.64
  6. Step 6: Final answer
    x = 143,920.97

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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.