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Finding the Fourth Proportional to 378,829.02, 522,783 and 209,061.93

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Solution

The fourth proportional to 378,829.02, 522,783 and 209,061.93 is: 288,504.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,829.02 : 522,783 = 209,061.93 : x
  2. Step 2: Convert to fraction form
    378,829.02/522,783 = 209,061.93/x
  3. Step 3: Cross multiply
    378,829.02x = 522,783 × 209,061.93
  4. Step 4: Simplify right side
    378,829.02x = 109,294,022,951.19
  5. Step 5: Solve for x
    x = 109,294,022,951.19/378,829.02
  6. Step 6: Final answer
    x = 288,504.89

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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.