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Finding the Fourth Proportional to 265,734,064.80, 398,601,097.20 and 197,709,616.80

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Solution

The fourth proportional to 265,734,064.80, 398,601,097.20 and 197,709,616.80 is: 296,564,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,734,064.80 : 398,601,097.20 = 197,709,616.80 : x
  2. Step 2: Convert to fraction form
    265,734,064.80/398,601,097.20 = 197,709,616.80/x
  3. Step 3: Cross multiply
    265,734,064.80x = 398,601,097.20 × 197,709,616.80
  4. Step 4: Simplify right side
    265,734,064.80x = 78,807,270,183,471,552
  5. Step 5: Solve for x
    x = 78,807,270,183,471,552/265,734,064.80
  6. Step 6: Final answer
    x = 296,564,425.20

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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.