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Finding the Fourth Proportional to 417,881.78, 576,727.86 and 245,791.54

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Solution

The fourth proportional to 417,881.78, 576,727.86 and 245,791.54 is: 339,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,881.78 : 576,727.86 = 245,791.54 : x
  2. Step 2: Convert to fraction form
    417,881.78/576,727.86 = 245,791.54/x
  3. Step 3: Cross multiply
    417,881.78x = 576,727.86 × 245,791.54
  4. Step 4: Simplify right side
    417,881.78x = 141,754,828,870.30
  5. Step 5: Solve for x
    x = 141,754,828,870.30/417,881.78
  6. Step 6: Final answer
    x = 339,222.32

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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.