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Finding the Fourth Proportional to 417,706, 576,418.86 and 226,715.32

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Solution

The fourth proportional to 417,706, 576,418.86 and 226,715.32 is: 312,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,706 : 576,418.86 = 226,715.32 : x
  2. Step 2: Convert to fraction form
    417,706/576,418.86 = 226,715.32/x
  3. Step 3: Cross multiply
    417,706x = 576,418.86 × 226,715.32
  4. Step 4: Simplify right side
    417,706x = 130,682,986,298.94
  5. Step 5: Solve for x
    x = 130,682,986,298.94/417,706
  6. Step 6: Final answer
    x = 312,858.77

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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.