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Finding the Fourth Proportional to 617,468.94, 925,574.85 and 280,748.70

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Solution

The fourth proportional to 617,468.94, 925,574.85 and 280,748.70 is: 420,837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,468.94 : 925,574.85 = 280,748.70 : x
  2. Step 2: Convert to fraction form
    617,468.94/925,574.85 = 280,748.70/x
  3. Step 3: Cross multiply
    617,468.94x = 925,574.85 × 280,748.70
  4. Step 4: Simplify right side
    617,468.94x = 259,853,935,890.20
  5. Step 5: Solve for x
    x = 259,853,935,890.20/617,468.94
  6. Step 6: Final answer
    x = 420,837.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.