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Finding the Fourth Proportional to 305,269.96, 457,974.72 and 105,590.17

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Solution

The fourth proportional to 305,269.96, 457,974.72 and 105,590.17 is: 158,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,269.96 : 457,974.72 = 105,590.17 : x
  2. Step 2: Convert to fraction form
    305,269.96/457,974.72 = 105,590.17/x
  3. Step 3: Cross multiply
    305,269.96x = 457,974.72 × 105,590.17
  4. Step 4: Simplify right side
    305,269.96x = 48,357,628,540.50
  5. Step 5: Solve for x
    x = 48,357,628,540.50/305,269.96
  6. Step 6: Final answer
    x = 158,409.39

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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.