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Finding the Fourth Proportional to 417,945.84, 576,912.42 and 248,178.78

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Solution

The fourth proportional to 417,945.84, 576,912.42 and 248,178.78 is: 342,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,945.84 : 576,912.42 = 248,178.78 : x
  2. Step 2: Convert to fraction form
    417,945.84/576,912.42 = 248,178.78/x
  3. Step 3: Cross multiply
    417,945.84x = 576,912.42 × 248,178.78
  4. Step 4: Simplify right side
    417,945.84x = 143,177,420,562.45
  5. Step 5: Solve for x
    x = 143,177,420,562.45/417,945.84
  6. Step 6: Final answer
    x = 342,574.10

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1.5x scale

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.