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Finding the Fourth Proportional to 290,446,266.80, 435,072,203.40 and 199,672,353.20

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Solution

The fourth proportional to 290,446,266.80, 435,072,203.40 and 199,672,353.20 is: 299,097,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,446,266.80 : 435,072,203.40 = 199,672,353.20 : x
  2. Step 2: Convert to fraction form
    290,446,266.80/435,072,203.40 = 199,672,353.20/x
  3. Step 3: Cross multiply
    290,446,266.80x = 435,072,203.40 × 199,672,353.20
  4. Step 4: Simplify right side
    290,446,266.80x = 86,871,890,664,787,024
  5. Step 5: Solve for x
    x = 86,871,890,664,787,024/290,446,266.80
  6. Step 6: Final answer
    x = 299,097,976.44

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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.