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Finding the Fourth Proportional to 272,975,999.70, 409,463,999.55 and 272,975,999.70

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Solution

The fourth proportional to 272,975,999.70, 409,463,999.55 and 272,975,999.70 is: 409,463,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,975,999.70 : 409,463,999.55 = 272,975,999.70 : x
  2. Step 2: Convert to fraction form
    272,975,999.70/409,463,999.55 = 272,975,999.70/x
  3. Step 3: Cross multiply
    272,975,999.70x = 409,463,999.55 × 272,975,999.70
  4. Step 4: Simplify right side
    272,975,999.70x = 111,773,844,618,321,600
  5. Step 5: Solve for x
    x = 111,773,844,618,321,600/272,975,999.70
  6. Step 6: Final answer
    x = 409,463,999.55

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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.