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Finding the Fourth Proportional to 617,278.21, 925,821.80 and 238,143.65

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Solution

The fourth proportional to 617,278.21, 925,821.80 and 238,143.65 is: 357,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,278.21 : 925,821.80 = 238,143.65 : x
  2. Step 2: Convert to fraction form
    617,278.21/925,821.80 = 238,143.65/x
  3. Step 3: Cross multiply
    617,278.21x = 925,821.80 × 238,143.65
  4. Step 4: Simplify right side
    617,278.21x = 220,478,577,774.78
  5. Step 5: Solve for x
    x = 220,478,577,774.78/617,278.21
  6. Step 6: Final answer
    x = 357,178.62

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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.