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Finding the Fourth Proportional to 976,277, 1,464,441.60 and 311,429

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Solution

The fourth proportional to 976,277, 1,464,441.60 and 311,429 is: 467,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,277 : 1,464,441.60 = 311,429 : x
  2. Step 2: Convert to fraction form
    976,277/1,464,441.60 = 311,429/x
  3. Step 3: Cross multiply
    976,277x = 1,464,441.60 × 311,429
  4. Step 4: Simplify right side
    976,277x = 456,069,583,046.40
  5. Step 5: Solve for x
    x = 456,069,583,046.40/976,277
  6. Step 6: Final answer
    x = 467,151.83

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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.