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Finding the Fourth Proportional to 259,849.60, 389,482.80 and 147,583.60

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Solution

The fourth proportional to 259,849.60, 389,482.80 and 147,583.60 is: 221,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,849.60 : 389,482.80 = 147,583.60 : x
  2. Step 2: Convert to fraction form
    259,849.60/389,482.80 = 147,583.60/x
  3. Step 3: Cross multiply
    259,849.60x = 389,482.80 × 147,583.60
  4. Step 4: Simplify right side
    259,849.60x = 57,481,273,762.08
  5. Step 5: Solve for x
    x = 57,481,273,762.08/259,849.60
  6. Step 6: Final answer
    x = 221,209.78

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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.