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Finding the Fourth Proportional to 410,016.80, 614,923.14 and 143,786

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Solution

The fourth proportional to 410,016.80, 614,923.14 and 143,786 is: 215,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,016.80 : 614,923.14 = 143,786 : x
  2. Step 2: Convert to fraction form
    410,016.80/614,923.14 = 143,786/x
  3. Step 3: Cross multiply
    410,016.80x = 614,923.14 × 143,786
  4. Step 4: Simplify right side
    410,016.80x = 88,417,338,608.04
  5. Step 5: Solve for x
    x = 88,417,338,608.04/410,016.80
  6. Step 6: Final answer
    x = 215,643.21

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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.