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Finding the Fourth Proportional to 312,510.90, 468,766.59 and 75,853.81

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Solution

The fourth proportional to 312,510.90, 468,766.59 and 75,853.81 is: 113,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,510.90 : 468,766.59 = 75,853.81 : x
  2. Step 2: Convert to fraction form
    312,510.90/468,766.59 = 75,853.81/x
  3. Step 3: Cross multiply
    312,510.90x = 468,766.59 × 75,853.81
  4. Step 4: Simplify right side
    312,510.90x = 35,557,731,852.21
  5. Step 5: Solve for x
    x = 35,557,731,852.21/312,510.90
  6. Step 6: Final answer
    x = 113,780.77

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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.