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Finding the Fourth Proportional to 661,971,961, 913,521,262.98 and 383,674,910.68

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Solution

The fourth proportional to 661,971,961, 913,521,262.98 and 383,674,910.68 is: 529,471,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,971,961 : 913,521,262.98 = 383,674,910.68 : x
  2. Step 2: Convert to fraction form
    661,971,961/913,521,262.98 = 383,674,910.68/x
  3. Step 3: Cross multiply
    661,971,961x = 913,521,262.98 × 383,674,910.68
  4. Step 4: Simplify right side
    661,971,961x = 350,495,188,978,132,288
  5. Step 5: Solve for x
    x = 350,495,188,978,132,288/661,971,961
  6. Step 6: Final answer
    x = 529,471,351.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.