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Finding the Fourth Proportional to 450,569.32, 675,292.20 and 394,275.76

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Solution

The fourth proportional to 450,569.32, 675,292.20 and 394,275.76 is: 590,922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,569.32 : 675,292.20 = 394,275.76 : x
  2. Step 2: Convert to fraction form
    450,569.32/675,292.20 = 394,275.76/x
  3. Step 3: Cross multiply
    450,569.32x = 675,292.20 × 394,275.76
  4. Step 4: Simplify right side
    450,569.32x = 266,251,345,377.07
  5. Step 5: Solve for x
    x = 266,251,345,377.07/450,569.32
  6. Step 6: Final answer
    x = 590,922.05

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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.