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Finding the Fourth Proportional to 304,633.16, 420,440.19 and 189,930.41

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Solution

The fourth proportional to 304,633.16, 420,440.19 and 189,930.41 is: 262,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,633.16 : 420,440.19 = 189,930.41 : x
  2. Step 2: Convert to fraction form
    304,633.16/420,440.19 = 189,930.41/x
  3. Step 3: Cross multiply
    304,633.16x = 420,440.19 × 189,930.41
  4. Step 4: Simplify right side
    304,633.16x = 79,854,377,667.18
  5. Step 5: Solve for x
    x = 79,854,377,667.18/304,633.16
  6. Step 6: Final answer
    x = 262,132.91

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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.