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Finding the Fourth Proportional to 409,534.89, 614,578.89 and 143,297.71

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Solution

The fourth proportional to 409,534.89, 614,578.89 and 143,297.71 is: 215,043.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,534.89 : 614,578.89 = 143,297.71 : x
  2. Step 2: Convert to fraction form
    409,534.89/614,578.89 = 143,297.71/x
  3. Step 3: Cross multiply
    409,534.89x = 614,578.89 × 143,297.71
  4. Step 4: Simplify right side
    409,534.89x = 88,067,746,552.26
  5. Step 5: Solve for x
    x = 88,067,746,552.26/409,534.89
  6. Step 6: Final answer
    x = 215,043.33

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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.