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Finding the Fourth Proportional to 613,139,796.10, 919,722,758.64 and 219,692,323.90

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Solution

The fourth proportional to 613,139,796.10, 919,722,758.64 and 219,692,323.90 is: 329,543,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,139,796.10 : 919,722,758.64 = 219,692,323.90 : x
  2. Step 2: Convert to fraction form
    613,139,796.10/919,722,758.64 = 219,692,323.90/x
  3. Step 3: Cross multiply
    613,139,796.10x = 919,722,758.64 × 219,692,323.90
  4. Step 4: Simplify right side
    613,139,796.10x = 202,056,030,189,340,416
  5. Step 5: Solve for x
    x = 202,056,030,189,340,416/613,139,796.10
  6. Step 6: Final answer
    x = 329,543,166.95

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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.