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Finding the Fourth Proportional to 417,321.28, 625,771.42 and 297,309.66

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Solution

The fourth proportional to 417,321.28, 625,771.42 and 297,309.66 is: 445,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,321.28 : 625,771.42 = 297,309.66 : x
  2. Step 2: Convert to fraction form
    417,321.28/625,771.42 = 297,309.66/x
  3. Step 3: Cross multiply
    417,321.28x = 625,771.42 × 297,309.66
  4. Step 4: Simplify right side
    417,321.28x = 186,047,888,117.92
  5. Step 5: Solve for x
    x = 186,047,888,117.92/417,321.28
  6. Step 6: Final answer
    x = 445,814.52

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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.