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Finding the Fourth Proportional to 304,564.86, 420,115.59 and 195,632.49

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Solution

The fourth proportional to 304,564.86, 420,115.59 and 195,632.49 is: 269,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,564.86 : 420,115.59 = 195,632.49 : x
  2. Step 2: Convert to fraction form
    304,564.86/420,115.59 = 195,632.49/x
  3. Step 3: Cross multiply
    304,564.86x = 420,115.59 × 195,632.49
  4. Step 4: Simplify right side
    304,564.86x = 82,188,258,959.52
  5. Step 5: Solve for x
    x = 82,188,258,959.52/304,564.86
  6. Step 6: Final answer
    x = 269,854.70

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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.