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Finding the Fourth Proportional to 199,291,129.60, 298,936,694.40 and 147,635,064.40

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Solution

The fourth proportional to 199,291,129.60, 298,936,694.40 and 147,635,064.40 is: 221,452,596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,291,129.60 : 298,936,694.40 = 147,635,064.40 : x
  2. Step 2: Convert to fraction form
    199,291,129.60/298,936,694.40 = 147,635,064.40/x
  3. Step 3: Cross multiply
    199,291,129.60x = 298,936,694.40 × 147,635,064.40
  4. Step 4: Simplify right side
    199,291,129.60x = 44,133,538,129,267,120
  5. Step 5: Solve for x
    x = 44,133,538,129,267,120/199,291,129.60
  6. Step 6: Final answer
    x = 221,452,596.60

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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.