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Finding the Fourth Proportional to 538,699.85, 808,049.78 and 314,313.65

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Solution

The fourth proportional to 538,699.85, 808,049.78 and 314,313.65 is: 471,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,699.85 : 808,049.78 = 314,313.65 : x
  2. Step 2: Convert to fraction form
    538,699.85/808,049.78 = 314,313.65/x
  3. Step 3: Cross multiply
    538,699.85x = 808,049.78 × 314,313.65
  4. Step 4: Simplify right side
    538,699.85x = 253,981,074,161.93
  5. Step 5: Solve for x
    x = 253,981,074,161.93/538,699.85
  6. Step 6: Final answer
    x = 471,470.48

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.