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Finding the Fourth Proportional to 312,264, 468,408.96 and 90,648

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Solution

The fourth proportional to 312,264, 468,408.96 and 90,648 is: 135,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,264 : 468,408.96 = 90,648 : x
  2. Step 2: Convert to fraction form
    312,264/468,408.96 = 90,648/x
  3. Step 3: Cross multiply
    312,264x = 468,408.96 × 90,648
  4. Step 4: Simplify right side
    312,264x = 42,460,335,406.08
  5. Step 5: Solve for x
    x = 42,460,335,406.08/312,264
  6. Step 6: Final answer
    x = 135,975.76

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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.