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Finding the Fourth Proportional to 418,457.39, 577,471.43 and 227,470.78

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Solution

The fourth proportional to 418,457.39, 577,471.43 and 227,470.78 is: 313,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,457.39 : 577,471.43 = 227,470.78 : x
  2. Step 2: Convert to fraction form
    418,457.39/577,471.43 = 227,470.78/x
  3. Step 3: Cross multiply
    418,457.39x = 577,471.43 × 227,470.78
  4. Step 4: Simplify right side
    418,457.39x = 131,357,876,620.81
  5. Step 5: Solve for x
    x = 131,357,876,620.81/418,457.39
  6. Step 6: Final answer
    x = 313,909.80

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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.