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Finding the Fourth Proportional to 417,896, 576,696.48 and 239,048

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Solution

The fourth proportional to 417,896, 576,696.48 and 239,048 is: 329,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,896 : 576,696.48 = 239,048 : x
  2. Step 2: Convert to fraction form
    417,896/576,696.48 = 239,048/x
  3. Step 3: Cross multiply
    417,896x = 576,696.48 × 239,048
  4. Step 4: Simplify right side
    417,896x = 137,858,140,151.04
  5. Step 5: Solve for x
    x = 137,858,140,151.04/417,896
  6. Step 6: Final answer
    x = 329,886.24

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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.