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Finding the Fourth Proportional to 312,012.43, 468,088.81 and 98,793.09

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Solution

The fourth proportional to 312,012.43, 468,088.81 and 98,793.09 is: 148,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,012.43 : 468,088.81 = 98,793.09 : x
  2. Step 2: Convert to fraction form
    312,012.43/468,088.81 = 98,793.09/x
  3. Step 3: Cross multiply
    312,012.43x = 468,088.81 × 98,793.09
  4. Step 4: Simplify right side
    312,012.43x = 46,243,939,687.34
  5. Step 5: Solve for x
    x = 46,243,939,687.34/312,012.43
  6. Step 6: Final answer
    x = 148,211.85

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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.