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Finding the Fourth Proportional to 259,903.20, 389,984.40 and 147,669.60

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Solution

The fourth proportional to 259,903.20, 389,984.40 and 147,669.60 is: 221,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,903.20 : 389,984.40 = 147,669.60 : x
  2. Step 2: Convert to fraction form
    259,903.20/389,984.40 = 147,669.60/x
  3. Step 3: Cross multiply
    259,903.20x = 389,984.40 × 147,669.60
  4. Step 4: Simplify right side
    259,903.20x = 57,588,840,354.24
  5. Step 5: Solve for x
    x = 57,588,840,354.24/259,903.20
  6. Step 6: Final answer
    x = 221,578.04

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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.