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Finding the Fourth Proportional to 279,857,398.62, 386,327,048.79 and 180,786,450.78

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Solution

The fourth proportional to 279,857,398.62, 386,327,048.79 and 180,786,450.78 is: 249,565,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,857,398.62 : 386,327,048.79 = 180,786,450.78 : x
  2. Step 2: Convert to fraction form
    279,857,398.62/386,327,048.79 = 180,786,450.78/x
  3. Step 3: Cross multiply
    279,857,398.62x = 386,327,048.79 × 180,786,450.78
  4. Step 4: Simplify right side
    279,857,398.62x = 69,842,695,991,056,000
  5. Step 5: Solve for x
    x = 69,842,695,991,056,000/279,857,398.62
  6. Step 6: Final answer
    x = 249,565,301.24

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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.