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Finding the Fourth Proportional to 312,268.76, 468,416.09 and 90,652.76

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Solution

The fourth proportional to 312,268.76, 468,416.09 and 90,652.76 is: 135,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,268.76 : 468,416.09 = 90,652.76 : x
  2. Step 2: Convert to fraction form
    312,268.76/468,416.09 = 90,652.76/x
  3. Step 3: Cross multiply
    312,268.76x = 468,416.09 × 90,652.76
  4. Step 4: Simplify right side
    312,268.76x = 42,463,211,386.91
  5. Step 5: Solve for x
    x = 42,463,211,386.91/312,268.76
  6. Step 6: Final answer
    x = 135,982.90

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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.