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Finding the Fourth Proportional to 1,974,810, 2,962,224.72 and 478,902

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Solution

The fourth proportional to 1,974,810, 2,962,224.72 and 478,902 is: 718,355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,810 : 2,962,224.72 = 478,902 : x
  2. Step 2: Convert to fraction form
    1,974,810/2,962,224.72 = 478,902/x
  3. Step 3: Cross multiply
    1,974,810x = 2,962,224.72 × 478,902
  4. Step 4: Simplify right side
    1,974,810x = 1,418,615,342,857.44
  5. Step 5: Solve for x
    x = 1,418,615,342,857.44/1,974,810
  6. Step 6: Final answer
    x = 718,355.36

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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.