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Finding the Fourth Proportional to 378,034.49, 567,289.10 and 153,395.87

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Solution

The fourth proportional to 378,034.49, 567,289.10 and 153,395.87 is: 230,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,034.49 : 567,289.10 = 153,395.87 : x
  2. Step 2: Convert to fraction form
    378,034.49/567,289.10 = 153,395.87/x
  3. Step 3: Cross multiply
    378,034.49x = 567,289.10 × 153,395.87
  4. Step 4: Simplify right side
    378,034.49x = 87,019,802,583.06
  5. Step 5: Solve for x
    x = 87,019,802,583.06/378,034.49
  6. Step 6: Final answer
    x = 230,190.11

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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.