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Finding the Fourth Proportional to 417,391.40, 576,000.42 and 226,404.20

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Solution

The fourth proportional to 417,391.40, 576,000.42 and 226,404.20 is: 312,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,391.40 : 576,000.42 = 226,404.20 : x
  2. Step 2: Convert to fraction form
    417,391.40/576,000.42 = 226,404.20/x
  3. Step 3: Cross multiply
    417,391.40x = 576,000.42 × 226,404.20
  4. Step 4: Simplify right side
    417,391.40x = 130,408,914,289.76
  5. Step 5: Solve for x
    x = 130,408,914,289.76/417,391.40
  6. Step 6: Final answer
    x = 312,437.95

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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.