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Finding the Fourth Proportional to 312,532.11, 468,811.13 and 90,916.11

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Solution

The fourth proportional to 312,532.11, 468,811.13 and 90,916.11 is: 136,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,532.11 : 468,811.13 = 90,916.11 : x
  2. Step 2: Convert to fraction form
    312,532.11/468,811.13 = 90,916.11/x
  3. Step 3: Cross multiply
    312,532.11x = 468,811.13 × 90,916.11
  4. Step 4: Simplify right side
    312,532.11x = 42,622,483,809.72
  5. Step 5: Solve for x
    x = 42,622,483,809.72/312,532.11
  6. Step 6: Final answer
    x = 136,377.94

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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.