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Finding the Fourth Proportional to 315,100.68, 472,650.24 and 135,069.37

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Solution

The fourth proportional to 315,100.68, 472,650.24 and 135,069.37 is: 202,603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,100.68 : 472,650.24 = 135,069.37 : x
  2. Step 2: Convert to fraction form
    315,100.68/472,650.24 = 135,069.37/x
  3. Step 3: Cross multiply
    315,100.68x = 472,650.24 × 135,069.37
  4. Step 4: Simplify right side
    315,100.68x = 63,840,571,370.93
  5. Step 5: Solve for x
    x = 63,840,571,370.93/315,100.68
  6. Step 6: Final answer
    x = 202,603.72

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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.