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Finding the Fourth Proportional to 279,936,410.80, 419,904,616.20 and 157,492,404.40

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Solution

The fourth proportional to 279,936,410.80, 419,904,616.20 and 157,492,404.40 is: 236,238,606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,410.80 : 419,904,616.20 = 157,492,404.40 : x
  2. Step 2: Convert to fraction form
    279,936,410.80/419,904,616.20 = 157,492,404.40/x
  3. Step 3: Cross multiply
    279,936,410.80x = 419,904,616.20 × 157,492,404.40
  4. Step 4: Simplify right side
    279,936,410.80x = 66,131,787,623,997,192
  5. Step 5: Solve for x
    x = 66,131,787,623,997,192/279,936,410.80
  6. Step 6: Final answer
    x = 236,238,606.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.