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Finding the Fourth Proportional to 524,607,311.20, 787,414,851.60 and 266,114,408.80

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Solution

The fourth proportional to 524,607,311.20, 787,414,851.60 and 266,114,408.80 is: 399,427,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,607,311.20 : 787,414,851.60 = 266,114,408.80 : x
  2. Step 2: Convert to fraction form
    524,607,311.20/787,414,851.60 = 266,114,408.80/x
  3. Step 3: Cross multiply
    524,607,311.20x = 787,414,851.60 × 266,114,408.80
  4. Step 4: Simplify right side
    524,607,311.20x = 209,542,437,713,873,760
  5. Step 5: Solve for x
    x = 209,542,437,713,873,760/524,607,311.20
  6. Step 6: Final answer
    x = 399,427,215.82

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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.