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Finding the Fourth Proportional to 266,115,931.20, 399,173,896.80 and 266,115,931.20

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Solution

The fourth proportional to 266,115,931.20, 399,173,896.80 and 266,115,931.20 is: 399,173,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,115,931.20 : 399,173,896.80 = 266,115,931.20 : x
  2. Step 2: Convert to fraction form
    266,115,931.20/399,173,896.80 = 266,115,931.20/x
  3. Step 3: Cross multiply
    266,115,931.20x = 399,173,896.80 × 266,115,931.20
  4. Step 4: Simplify right side
    266,115,931.20x = 106,226,533,257,664,704
  5. Step 5: Solve for x
    x = 106,226,533,257,664,704/266,115,931.20
  6. Step 6: Final answer
    x = 399,173,896.80

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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.