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Finding the Fourth Proportional to 312,302, 468,465.96 and 90,686

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Solution

The fourth proportional to 312,302, 468,465.96 and 90,686 is: 136,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,302 : 468,465.96 = 90,686 : x
  2. Step 2: Convert to fraction form
    312,302/468,465.96 = 90,686/x
  3. Step 3: Cross multiply
    312,302x = 468,465.96 × 90,686
  4. Step 4: Simplify right side
    312,302x = 42,483,304,048.56
  5. Step 5: Solve for x
    x = 42,483,304,048.56/312,302
  6. Step 6: Final answer
    x = 136,032.76

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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.