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Finding the Fourth Proportional to 418,690.74, 577,786.86 and 227,699.76

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Solution

The fourth proportional to 418,690.74, 577,786.86 and 227,699.76 is: 314,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,690.74 : 577,786.86 = 227,699.76 : x
  2. Step 2: Convert to fraction form
    418,690.74/577,786.86 = 227,699.76/x
  3. Step 3: Cross multiply
    418,690.74x = 577,786.86 × 227,699.76
  4. Step 4: Simplify right side
    418,690.74x = 131,561,929,353.15
  5. Step 5: Solve for x
    x = 131,561,929,353.15/418,690.74
  6. Step 6: Final answer
    x = 314,222.21

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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.