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Finding the Fourth Proportional to 418,306.88, 577,263 and 227,319.84

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Solution

The fourth proportional to 418,306.88, 577,263 and 227,319.84 is: 313,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,306.88 : 577,263 = 227,319.84 : x
  2. Step 2: Convert to fraction form
    418,306.88/577,263 = 227,319.84/x
  3. Step 3: Cross multiply
    418,306.88x = 577,263 × 227,319.84
  4. Step 4: Simplify right side
    418,306.88x = 131,223,332,797.92
  5. Step 5: Solve for x
    x = 131,223,332,797.92/418,306.88
  6. Step 6: Final answer
    x = 313,701.11

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1.5x scale

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.