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Finding the Fourth Proportional to 298,940,906.40, 448,482,218.40 and 153,396,931.20

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Solution

The fourth proportional to 298,940,906.40, 448,482,218.40 and 153,396,931.20 is: 230,131,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,940,906.40 : 448,482,218.40 = 153,396,931.20 : x
  2. Step 2: Convert to fraction form
    298,940,906.40/448,482,218.40 = 153,396,931.20/x
  3. Step 3: Cross multiply
    298,940,906.40x = 448,482,218.40 × 153,396,931.20
  4. Step 4: Simplify right side
    298,940,906.40x = 68,795,796,000,328,168
  5. Step 5: Solve for x
    x = 68,795,796,000,328,168/298,940,906.40
  6. Step 6: Final answer
    x = 230,131,756.90

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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.