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Finding the Fourth Proportional to 378,798.20, 567,803.70 and 154,062.20

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Solution

The fourth proportional to 378,798.20, 567,803.70 and 154,062.20 is: 230,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,798.20 : 567,803.70 = 154,062.20 : x
  2. Step 2: Convert to fraction form
    378,798.20/567,803.70 = 154,062.20/x
  3. Step 3: Cross multiply
    378,798.20x = 567,803.70 × 154,062.20
  4. Step 4: Simplify right side
    378,798.20x = 87,477,087,190.14
  5. Step 5: Solve for x
    x = 87,477,087,190.14/378,798.20
  6. Step 6: Final answer
    x = 230,933.22

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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.