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Finding the Fourth Proportional to 259,765.60, 390,109.20 and 200,744.80

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Solution

The fourth proportional to 259,765.60, 390,109.20 and 200,744.80 is: 301,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,765.60 : 390,109.20 = 200,744.80 : x
  2. Step 2: Convert to fraction form
    259,765.60/390,109.20 = 200,744.80/x
  3. Step 3: Cross multiply
    259,765.60x = 390,109.20 × 200,744.80
  4. Step 4: Simplify right side
    259,765.60x = 78,312,393,332.16
  5. Step 5: Solve for x
    x = 78,312,393,332.16/259,765.60
  6. Step 6: Final answer
    x = 301,473.30

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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.