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Finding the Fourth Proportional to 378,957.44, 522,962.52 and 209,191.16

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Solution

The fourth proportional to 378,957.44, 522,962.52 and 209,191.16 is: 288,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,957.44 : 522,962.52 = 209,191.16 : x
  2. Step 2: Convert to fraction form
    378,957.44/522,962.52 = 209,191.16/x
  3. Step 3: Cross multiply
    378,957.44x = 522,962.52 × 209,191.16
  4. Step 4: Simplify right side
    378,957.44x = 109,399,136,195.32
  5. Step 5: Solve for x
    x = 109,399,136,195.32/378,957.44
  6. Step 6: Final answer
    x = 288,684.49

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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.