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Finding the Fourth Proportional to 1,974,578, 2,961,867 and 478,670

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Solution

The fourth proportional to 1,974,578, 2,961,867 and 478,670 is: 718,005

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,578 : 2,961,867 = 478,670 : x
  2. Step 2: Convert to fraction form
    1,974,578/2,961,867 = 478,670/x
  3. Step 3: Cross multiply
    1,974,578x = 2,961,867 × 478,670
  4. Step 4: Simplify right side
    1,974,578x = 1,417,756,876,890
  5. Step 5: Solve for x
    x = 1,417,756,876,890/1,974,578
  6. Step 6: Final answer
    x = 718,005

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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.