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Finding the Fourth Proportional to 324,930.40, 487,222.80 and 137,730.40

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Solution

The fourth proportional to 324,930.40, 487,222.80 and 137,730.40 is: 206,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,930.40 : 487,222.80 = 137,730.40 : x
  2. Step 2: Convert to fraction form
    324,930.40/487,222.80 = 137,730.40/x
  3. Step 3: Cross multiply
    324,930.40x = 487,222.80 × 137,730.40
  4. Step 4: Simplify right side
    324,930.40x = 67,105,391,133.12
  5. Step 5: Solve for x
    x = 67,105,391,133.12/324,930.40
  6. Step 6: Final answer
    x = 206,522.35

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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.