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Finding the Fourth Proportional to 378,973.62, 522,984.62 and 209,207.76

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Solution

The fourth proportional to 378,973.62, 522,984.62 and 209,207.76 is: 288,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,973.62 : 522,984.62 = 209,207.76 : x
  2. Step 2: Convert to fraction form
    378,973.62/522,984.62 = 209,207.76/x
  3. Step 3: Cross multiply
    378,973.62x = 522,984.62 × 209,207.76
  4. Step 4: Simplify right side
    378,973.62x = 109,412,440,864.65
  5. Step 5: Solve for x
    x = 109,412,440,864.65/378,973.62
  6. Step 6: Final answer
    x = 288,707.27

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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.