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Finding the Fourth Proportional to 304,614, 420,309 and 197,169.12

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Solution

The fourth proportional to 304,614, 420,309 and 197,169.12 is: 272,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,614 : 420,309 = 197,169.12 : x
  2. Step 2: Convert to fraction form
    304,614/420,309 = 197,169.12/x
  3. Step 3: Cross multiply
    304,614x = 420,309 × 197,169.12
  4. Step 4: Simplify right side
    304,614x = 82,871,955,658.08
  5. Step 5: Solve for x
    x = 82,871,955,658.08/304,614
  6. Step 6: Final answer
    x = 272,055.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.