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Finding the Fourth Proportional to 418,383.95, 577,373.65 and 227,397.80

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Solution

The fourth proportional to 418,383.95, 577,373.65 and 227,397.80 is: 313,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,383.95 : 577,373.65 = 227,397.80 : x
  2. Step 2: Convert to fraction form
    418,383.95/577,373.65 = 227,397.80/x
  3. Step 3: Cross multiply
    418,383.95x = 577,373.65 × 227,397.80
  4. Step 4: Simplify right side
    418,383.95x = 131,293,498,662.91
  5. Step 5: Solve for x
    x = 131,293,498,662.91/418,383.95
  6. Step 6: Final answer
    x = 313,811.03

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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.