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Finding the Fourth Proportional to 410,017.80, 614,924.64 and 143,787

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Solution

The fourth proportional to 410,017.80, 614,924.64 and 143,787 is: 215,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,017.80 : 614,924.64 = 143,787 : x
  2. Step 2: Convert to fraction form
    410,017.80/614,924.64 = 143,787/x
  3. Step 3: Cross multiply
    410,017.80x = 614,924.64 × 143,787
  4. Step 4: Simplify right side
    410,017.80x = 88,418,169,211.68
  5. Step 5: Solve for x
    x = 88,418,169,211.68/410,017.80
  6. Step 6: Final answer
    x = 215,644.71

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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.