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Finding the Fourth Proportional to 266,468,015.40, 399,702,023.10 and 201,897,933.90

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Solution

The fourth proportional to 266,468,015.40, 399,702,023.10 and 201,897,933.90 is: 302,846,900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,468,015.40 : 399,702,023.10 = 201,897,933.90 : x
  2. Step 2: Convert to fraction form
    266,468,015.40/399,702,023.10 = 201,897,933.90/x
  3. Step 3: Cross multiply
    266,468,015.40x = 399,702,023.10 × 201,897,933.90
  4. Step 4: Simplify right side
    266,468,015.40x = 80,699,012,639,540,080
  5. Step 5: Solve for x
    x = 80,699,012,639,540,080/266,468,015.40
  6. Step 6: Final answer
    x = 302,846,900.85

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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.