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Finding the Fourth Proportional to 417,919.50, 576,728.92 and 239,071.50

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Solution

The fourth proportional to 417,919.50, 576,728.92 and 239,071.50 is: 329,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,919.50 : 576,728.92 = 239,071.50 : x
  2. Step 2: Convert to fraction form
    417,919.50/576,728.92 = 239,071.50/x
  3. Step 3: Cross multiply
    417,919.50x = 576,728.92 × 239,071.50
  4. Step 4: Simplify right side
    417,919.50x = 137,879,447,997.78
  5. Step 5: Solve for x
    x = 137,879,447,997.78/417,919.50
  6. Step 6: Final answer
    x = 329,918.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.