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Finding the Fourth Proportional to 311,785,969.10, 437,216,992.90 and 311,785,969.10

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Solution

The fourth proportional to 311,785,969.10, 437,216,992.90 and 311,785,969.10 is: 437,216,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,785,969.10 : 437,216,992.90 = 311,785,969.10 : x
  2. Step 2: Convert to fraction form
    311,785,969.10/437,216,992.90 = 311,785,969.10/x
  3. Step 3: Cross multiply
    311,785,969.10x = 437,216,992.90 × 311,785,969.10
  4. Step 4: Simplify right side
    311,785,969.10x = 136,318,123,838,314,320
  5. Step 5: Solve for x
    x = 136,318,123,838,314,320/311,785,969.10
  6. Step 6: Final answer
    x = 437,216,992.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.