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Finding the Fourth Proportional to 660,997,932.76, 991,461,018.30 and 200,900,229.94

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Solution

The fourth proportional to 660,997,932.76, 991,461,018.30 and 200,900,229.94 is: 301,339,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,997,932.76 : 991,461,018.30 = 200,900,229.94 : x
  2. Step 2: Convert to fraction form
    660,997,932.76/991,461,018.30 = 200,900,229.94/x
  3. Step 3: Cross multiply
    660,997,932.76x = 991,461,018.30 × 200,900,229.94
  4. Step 4: Simplify right side
    660,997,932.76x = 199,184,746,553,016,544
  5. Step 5: Solve for x
    x = 199,184,746,553,016,544/660,997,932.76
  6. Step 6: Final answer
    x = 301,339,439.48

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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.