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Finding the Fourth Proportional to 312,616.48, 431,400.72 and 178,480.48

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Solution

The fourth proportional to 312,616.48, 431,400.72 and 178,480.48 is: 246,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,616.48 : 431,400.72 = 178,480.48 : x
  2. Step 2: Convert to fraction form
    312,616.48/431,400.72 = 178,480.48/x
  3. Step 3: Cross multiply
    312,616.48x = 431,400.72 × 178,480.48
  4. Step 4: Simplify right side
    312,616.48x = 76,996,607,577.95
  5. Step 5: Solve for x
    x = 76,996,607,577.95/312,616.48
  6. Step 6: Final answer
    x = 246,297.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.