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Finding the Fourth Proportional to 305,020.80, 457,592.22 and 105,348.42

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Solution

The fourth proportional to 305,020.80, 457,592.22 and 105,348.42 is: 158,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,020.80 : 457,592.22 = 105,348.42 : x
  2. Step 2: Convert to fraction form
    305,020.80/457,592.22 = 105,348.42/x
  3. Step 3: Cross multiply
    305,020.80x = 457,592.22 × 105,348.42
  4. Step 4: Simplify right side
    305,020.80x = 48,206,617,381.29
  5. Step 5: Solve for x
    x = 48,206,617,381.29/305,020.80
  6. Step 6: Final answer
    x = 158,043.71

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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.