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Finding the Fourth Proportional to 517,278.42, 775,937.97 and 180,353.43

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Solution

The fourth proportional to 517,278.42, 775,937.97 and 180,353.43 is: 270,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,278.42 : 775,937.97 = 180,353.43 : x
  2. Step 2: Convert to fraction form
    517,278.42/775,937.97 = 180,353.43/x
  3. Step 3: Cross multiply
    517,278.42x = 775,937.97 × 180,353.43
  4. Step 4: Simplify right side
    517,278.42x = 139,943,074,356.74
  5. Step 5: Solve for x
    x = 139,943,074,356.74/517,278.42
  6. Step 6: Final answer
    x = 270,537.24

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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.