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Finding the Fourth Proportional to 660,997,934.76, 991,461,021.30 and 200,900,231.94

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Solution

The fourth proportional to 660,997,934.76, 991,461,021.30 and 200,900,231.94 is: 301,339,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,997,934.76 : 991,461,021.30 = 200,900,231.94 : x
  2. Step 2: Convert to fraction form
    660,997,934.76/991,461,021.30 = 200,900,231.94/x
  3. Step 3: Cross multiply
    660,997,934.76x = 991,461,021.30 × 200,900,231.94
  4. Step 4: Simplify right side
    660,997,934.76x = 199,184,749,138,639,264
  5. Step 5: Solve for x
    x = 199,184,749,138,639,264/660,997,934.76
  6. Step 6: Final answer
    x = 301,339,442.48

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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.