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Finding the Fourth Proportional to 259,795.20, 389,692.80 and 207,307.20

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Solution

The fourth proportional to 259,795.20, 389,692.80 and 207,307.20 is: 310,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,795.20 : 389,692.80 = 207,307.20 : x
  2. Step 2: Convert to fraction form
    259,795.20/389,692.80 = 207,307.20/x
  3. Step 3: Cross multiply
    259,795.20x = 389,692.80 × 207,307.20
  4. Step 4: Simplify right side
    259,795.20x = 80,786,123,228.16
  5. Step 5: Solve for x
    x = 80,786,123,228.16/259,795.20
  6. Step 6: Final answer
    x = 310,960.80

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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.