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Finding the Fourth Proportional to 378,351.54, 565,140.34 and 318,564.45

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Solution

The fourth proportional to 378,351.54, 565,140.34 and 318,564.45 is: 475,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,351.54 : 565,140.34 = 318,564.45 : x
  2. Step 2: Convert to fraction form
    378,351.54/565,140.34 = 318,564.45/x
  3. Step 3: Cross multiply
    378,351.54x = 565,140.34 × 318,564.45
  4. Step 4: Simplify right side
    378,351.54x = 180,033,621,983.12
  5. Step 5: Solve for x
    x = 180,033,621,983.12/378,351.54
  6. Step 6: Final answer
    x = 475,836.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.