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Finding the Fourth Proportional to 259,446.80, 389,477.40 and 147,216.40

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Solution

The fourth proportional to 259,446.80, 389,477.40 and 147,216.40 is: 220,998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,446.80 : 389,477.40 = 147,216.40 : x
  2. Step 2: Convert to fraction form
    259,446.80/389,477.40 = 147,216.40/x
  3. Step 3: Cross multiply
    259,446.80x = 389,477.40 × 147,216.40
  4. Step 4: Simplify right side
    259,446.80x = 57,337,460,709.36
  5. Step 5: Solve for x
    x = 57,337,460,709.36/259,446.80
  6. Step 6: Final answer
    x = 220,998.91

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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.