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Finding the Fourth Proportional to 875,270.70, 1,312,906.05 and 314,361.90

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Solution

The fourth proportional to 875,270.70, 1,312,906.05 and 314,361.90 is: 471,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,270.70 : 1,312,906.05 = 314,361.90 : x
  2. Step 2: Convert to fraction form
    875,270.70/1,312,906.05 = 314,361.90/x
  3. Step 3: Cross multiply
    875,270.70x = 1,312,906.05 × 314,361.90
  4. Step 4: Simplify right side
    875,270.70x = 412,727,640,399.50
  5. Step 5: Solve for x
    x = 412,727,640,399.50/875,270.70
  6. Step 6: Final answer
    x = 471,542.85

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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.