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Finding the Fourth Proportional to 418,497.32, 577,519.50 and 227,515.48

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Solution

The fourth proportional to 418,497.32, 577,519.50 and 227,515.48 is: 313,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,497.32 : 577,519.50 = 227,515.48 : x
  2. Step 2: Convert to fraction form
    418,497.32/577,519.50 = 227,515.48/x
  3. Step 3: Cross multiply
    418,497.32x = 577,519.50 × 227,515.48
  4. Step 4: Simplify right side
    418,497.32x = 131,394,626,251.86
  5. Step 5: Solve for x
    x = 131,394,626,251.86/418,497.32
  6. Step 6: Final answer
    x = 313,967.66

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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.