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Finding the Fourth Proportional to 287,789,405.10, 431,684,107.65 and 200,113,449.90

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Solution

The fourth proportional to 287,789,405.10, 431,684,107.65 and 200,113,449.90 is: 300,170,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,789,405.10 : 431,684,107.65 = 200,113,449.90 : x
  2. Step 2: Convert to fraction form
    287,789,405.10/431,684,107.65 = 200,113,449.90/x
  3. Step 3: Cross multiply
    287,789,405.10x = 431,684,107.65 × 200,113,449.90
  4. Step 4: Simplify right side
    287,789,405.10x = 86,385,796,048,844,480
  5. Step 5: Solve for x
    x = 86,385,796,048,844,480/287,789,405.10
  6. Step 6: Final answer
    x = 300,170,174.85

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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.