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Finding the Fourth Proportional to 508,947.20, 762,806.40 and 259,500.80

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Solution

The fourth proportional to 508,947.20, 762,806.40 and 259,500.80 is: 388,937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,947.20 : 762,806.40 = 259,500.80 : x
  2. Step 2: Convert to fraction form
    508,947.20/762,806.40 = 259,500.80/x
  3. Step 3: Cross multiply
    508,947.20x = 762,806.40 × 259,500.80
  4. Step 4: Simplify right side
    508,947.20x = 197,948,871,045.12
  5. Step 5: Solve for x
    x = 197,948,871,045.12/508,947.20
  6. Step 6: Final answer
    x = 388,937.93

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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.