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Finding the Fourth Proportional to 378,973.77, 522,980.60 and 209,204.25

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Solution

The fourth proportional to 378,973.77, 522,980.60 and 209,204.25 is: 288,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,973.77 : 522,980.60 = 209,204.25 : x
  2. Step 2: Convert to fraction form
    378,973.77/522,980.60 = 209,204.25/x
  3. Step 3: Cross multiply
    378,973.77x = 522,980.60 × 209,204.25
  4. Step 4: Simplify right side
    378,973.77x = 109,409,763,141.53
  5. Step 5: Solve for x
    x = 109,409,763,141.53/378,973.77
  6. Step 6: Final answer
    x = 288,700.09

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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.