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Finding the Fourth Proportional to 1,974,468.78, 2,961,703.26 and 478,560.78

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Solution

The fourth proportional to 1,974,468.78, 2,961,703.26 and 478,560.78 is: 717,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,468.78 : 2,961,703.26 = 478,560.78 : x
  2. Step 2: Convert to fraction form
    1,974,468.78/2,961,703.26 = 478,560.78/x
  3. Step 3: Cross multiply
    1,974,468.78x = 2,961,703.26 × 478,560.78
  4. Step 4: Simplify right side
    1,974,468.78x = 1,417,355,022,234.14
  5. Step 5: Solve for x
    x = 1,417,355,022,234.14/1,974,468.78
  6. Step 6: Final answer
    x = 717,841.19

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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.