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Finding the Fourth Proportional to 378,465.06, 567,889.56 and 209,954.28

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Solution

The fourth proportional to 378,465.06, 567,889.56 and 209,954.28 is: 315,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,465.06 : 567,889.56 = 209,954.28 : x
  2. Step 2: Convert to fraction form
    378,465.06/567,889.56 = 209,954.28/x
  3. Step 3: Cross multiply
    378,465.06x = 567,889.56 × 209,954.28
  4. Step 4: Simplify right side
    378,465.06x = 119,230,843,689.32
  5. Step 5: Solve for x
    x = 119,230,843,689.32/378,465.06
  6. Step 6: Final answer
    x = 315,037.92

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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.