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Finding the Fourth Proportional to 409,519.94, 614,367.40 and 143,289.14

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Solution

The fourth proportional to 409,519.94, 614,367.40 and 143,289.14 is: 214,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,519.94 : 614,367.40 = 143,289.14 : x
  2. Step 2: Convert to fraction form
    409,519.94/614,367.40 = 143,289.14/x
  3. Step 3: Cross multiply
    409,519.94x = 614,367.40 × 143,289.14
  4. Step 4: Simplify right side
    409,519.94x = 88,032,176,390.04
  5. Step 5: Solve for x
    x = 88,032,176,390.04/409,519.94
  6. Step 6: Final answer
    x = 214,964.32

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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.