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Finding the Fourth Proportional to 328,260.53, 492,443.25 and 138,722.69

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Solution

The fourth proportional to 328,260.53, 492,443.25 and 138,722.69 is: 208,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,260.53 : 492,443.25 = 138,722.69 : x
  2. Step 2: Convert to fraction form
    328,260.53/492,443.25 = 138,722.69/x
  3. Step 3: Cross multiply
    328,260.53x = 492,443.25 × 138,722.69
  4. Step 4: Simplify right side
    328,260.53x = 68,313,053,023.24
  5. Step 5: Solve for x
    x = 68,313,053,023.24/328,260.53
  6. Step 6: Final answer
    x = 208,106.20

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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.