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Finding the Fourth Proportional to 418,586.34, 577,645.14 and 227,599.80

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Solution

The fourth proportional to 418,586.34, 577,645.14 and 227,599.80 is: 314,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,586.34 : 577,645.14 = 227,599.80 : x
  2. Step 2: Convert to fraction form
    418,586.34/577,645.14 = 227,599.80/x
  3. Step 3: Cross multiply
    418,586.34x = 577,645.14 × 227,599.80
  4. Step 4: Simplify right side
    418,586.34x = 131,471,918,334.97
  5. Step 5: Solve for x
    x = 131,471,918,334.97/418,586.34
  6. Step 6: Final answer
    x = 314,085.54

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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.