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Finding the Fourth Proportional to 417,616.30, 576,312 and 226,629.64

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Solution

The fourth proportional to 417,616.30, 576,312 and 226,629.64 is: 312,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,616.30 : 576,312 = 226,629.64 : x
  2. Step 2: Convert to fraction form
    417,616.30/576,312 = 226,629.64/x
  3. Step 3: Cross multiply
    417,616.30x = 576,312 × 226,629.64
  4. Step 4: Simplify right side
    417,616.30x = 130,609,381,087.68
  5. Step 5: Solve for x
    x = 130,609,381,087.68/417,616.30
  6. Step 6: Final answer
    x = 312,749.72

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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.