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Finding the Fourth Proportional to 200,291,454.92, 299,919,760.92 and 138,234,258.28

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Solution

The fourth proportional to 200,291,454.92, 299,919,760.92 and 138,234,258.28 is: 206,994,280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,291,454.92 : 299,919,760.92 = 138,234,258.28 : x
  2. Step 2: Convert to fraction form
    200,291,454.92/299,919,760.92 = 138,234,258.28/x
  3. Step 3: Cross multiply
    200,291,454.92x = 299,919,760.92 × 138,234,258.28
  4. Step 4: Simplify right side
    200,291,454.92x = 41,459,185,694,291,136
  5. Step 5: Solve for x
    x = 41,459,185,694,291,136/200,291,454.92
  6. Step 6: Final answer
    x = 206,994,280.96

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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.