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Finding the Fourth Proportional to 312,223.36, 468,383.82 and 101,812.36

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Solution

The fourth proportional to 312,223.36, 468,383.82 and 101,812.36 is: 152,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,223.36 : 468,383.82 = 101,812.36 : x
  2. Step 2: Convert to fraction form
    312,223.36/468,383.82 = 101,812.36/x
  3. Step 3: Cross multiply
    312,223.36x = 468,383.82 × 101,812.36
  4. Step 4: Simplify right side
    312,223.36x = 47,687,262,100.02
  5. Step 5: Solve for x
    x = 47,687,262,100.02/312,223.36
  6. Step 6: Final answer
    x = 152,734.45

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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.