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Finding the Fourth Proportional to 418,687.74, 577,782.72 and 227,696.76

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Solution

The fourth proportional to 418,687.74, 577,782.72 and 227,696.76 is: 314,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,687.74 : 577,782.72 = 227,696.76 : x
  2. Step 2: Convert to fraction form
    418,687.74/577,782.72 = 227,696.76/x
  3. Step 3: Cross multiply
    418,687.74x = 577,782.72 × 227,696.76
  4. Step 4: Simplify right side
    418,687.74x = 131,559,253,327.99
  5. Step 5: Solve for x
    x = 131,559,253,327.99/418,687.74
  6. Step 6: Final answer
    x = 314,218.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.