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Finding the Fourth Proportional to 259,689.70, 389,587.20 and 147,423.70

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Solution

The fourth proportional to 259,689.70, 389,587.20 and 147,423.70 is: 221,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,689.70 : 389,587.20 = 147,423.70 : x
  2. Step 2: Convert to fraction form
    259,689.70/389,587.20 = 147,423.70/x
  3. Step 3: Cross multiply
    259,689.70x = 389,587.20 × 147,423.70
  4. Step 4: Simplify right side
    259,689.70x = 57,434,386,496.64
  5. Step 5: Solve for x
    x = 57,434,386,496.64/259,689.70
  6. Step 6: Final answer
    x = 221,165.44

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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.