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Finding the Fourth Proportional to 268,843,824.80, 403,265,737.20 and 185,620,164.20

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Solution

The fourth proportional to 268,843,824.80, 403,265,737.20 and 185,620,164.20 is: 278,430,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,843,824.80 : 403,265,737.20 = 185,620,164.20 : x
  2. Step 2: Convert to fraction form
    268,843,824.80/403,265,737.20 = 185,620,164.20/x
  3. Step 3: Cross multiply
    268,843,824.80x = 403,265,737.20 × 185,620,164.20
  4. Step 4: Simplify right side
    268,843,824.80x = 74,854,252,355,298,048
  5. Step 5: Solve for x
    x = 74,854,252,355,298,048/268,843,824.80
  6. Step 6: Final answer
    x = 278,430,246.30

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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.