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Finding the Fourth Proportional to 1,974,640.85, 2,961,961.28 and 478,732.85

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Solution

The fourth proportional to 1,974,640.85, 2,961,961.28 and 478,732.85 is: 718,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,640.85 : 2,961,961.28 = 478,732.85 : x
  2. Step 2: Convert to fraction form
    1,974,640.85/2,961,961.28 = 478,732.85/x
  3. Step 3: Cross multiply
    1,974,640.85x = 2,961,961.28 × 478,732.85
  4. Step 4: Simplify right side
    1,974,640.85x = 1,417,988,162,770.38
  5. Step 5: Solve for x
    x = 1,417,988,162,770.38/1,974,640.85
  6. Step 6: Final answer
    x = 718,099.28

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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.