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Finding the Fourth Proportional to 299,808,005.70, 449,712,008.55 and 231,699,576.90

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Solution

The fourth proportional to 299,808,005.70, 449,712,008.55 and 231,699,576.90 is: 347,549,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,808,005.70 : 449,712,008.55 = 231,699,576.90 : x
  2. Step 2: Convert to fraction form
    299,808,005.70/449,712,008.55 = 231,699,576.90/x
  3. Step 3: Cross multiply
    299,808,005.70x = 449,712,008.55 × 231,699,576.90
  4. Step 4: Simplify right side
    299,808,005.70x = 104,198,082,107,884,192
  5. Step 5: Solve for x
    x = 104,198,082,107,884,192/299,808,005.70
  6. Step 6: Final answer
    x = 347,549,365.35

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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.