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Finding the Fourth Proportional to 426,806.24, 640,875.20 and 407,876.56

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Solution

The fourth proportional to 426,806.24, 640,875.20 and 407,876.56 is: 612,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,806.24 : 640,875.20 = 407,876.56 : x
  2. Step 2: Convert to fraction form
    426,806.24/640,875.20 = 407,876.56/x
  3. Step 3: Cross multiply
    426,806.24x = 640,875.20 × 407,876.56
  4. Step 4: Simplify right side
    426,806.24x = 261,397,971,965.31
  5. Step 5: Solve for x
    x = 261,397,971,965.31/426,806.24
  6. Step 6: Final answer
    x = 612,451.15

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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.