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Finding the Fourth Proportional to 417,628, 576,327.04 and 226,641.44

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Solution

The fourth proportional to 417,628, 576,327.04 and 226,641.44 is: 312,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,628 : 576,327.04 = 226,641.44 : x
  2. Step 2: Convert to fraction form
    417,628/576,327.04 = 226,641.44/x
  3. Step 3: Cross multiply
    417,628x = 576,327.04 × 226,641.44
  4. Step 4: Simplify right side
    417,628x = 130,619,590,256.54
  5. Step 5: Solve for x
    x = 130,619,590,256.54/417,628
  6. Step 6: Final answer
    x = 312,765.40

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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.