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Finding the Fourth Proportional to 378,975.54, 522,972.54 and 209,206.02

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Solution

The fourth proportional to 378,975.54, 522,972.54 and 209,206.02 is: 288,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,975.54 : 522,972.54 = 209,206.02 : x
  2. Step 2: Convert to fraction form
    378,975.54/522,972.54 = 209,206.02/x
  3. Step 3: Cross multiply
    378,975.54x = 522,972.54 × 209,206.02
  4. Step 4: Simplify right side
    378,975.54x = 109,409,003,662.69
  5. Step 5: Solve for x
    x = 109,409,003,662.69/378,975.54
  6. Step 6: Final answer
    x = 288,696.74

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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.