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Finding the Fourth Proportional to 517,120.29, 775,488.47 and 180,074.43

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Solution

The fourth proportional to 517,120.29, 775,488.47 and 180,074.43 is: 270,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,120.29 : 775,488.47 = 180,074.43 : x
  2. Step 2: Convert to fraction form
    517,120.29/775,488.47 = 180,074.43/x
  3. Step 3: Cross multiply
    517,120.29x = 775,488.47 × 180,074.43
  4. Step 4: Simplify right side
    517,120.29x = 139,645,643,306.45
  5. Step 5: Solve for x
    x = 139,645,643,306.45/517,120.29
  6. Step 6: Final answer
    x = 270,044.80

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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.