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Finding the Fourth Proportional to 551,638,666.80, 827,458,000.20 and 188,144,881.20

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Solution

The fourth proportional to 551,638,666.80, 827,458,000.20 and 188,144,881.20 is: 282,217,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,638,666.80 : 827,458,000.20 = 188,144,881.20 : x
  2. Step 2: Convert to fraction form
    551,638,666.80/827,458,000.20 = 188,144,881.20/x
  3. Step 3: Cross multiply
    551,638,666.80x = 827,458,000.20 × 188,144,881.20
  4. Step 4: Simplify right side
    551,638,666.80x = 155,681,987,145,618,560
  5. Step 5: Solve for x
    x = 155,681,987,145,618,560/551,638,666.80
  6. Step 6: Final answer
    x = 282,217,321.80

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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.