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Finding the Fourth Proportional to 432,854.70, 649,282.05 and 273,422.40

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Solution

The fourth proportional to 432,854.70, 649,282.05 and 273,422.40 is: 410,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,854.70 : 649,282.05 = 273,422.40 : x
  2. Step 2: Convert to fraction form
    432,854.70/649,282.05 = 273,422.40/x
  3. Step 3: Cross multiply
    432,854.70x = 649,282.05 × 273,422.40
  4. Step 4: Simplify right side
    432,854.70x = 177,528,256,387.92
  5. Step 5: Solve for x
    x = 177,528,256,387.92/432,854.70
  6. Step 6: Final answer
    x = 410,133.60

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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.