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Finding the Fourth Proportional to 664,006,978.20, 996,010,467.30 and 654,937,051.80

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Solution

The fourth proportional to 664,006,978.20, 996,010,467.30 and 654,937,051.80 is: 982,405,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,006,978.20 : 996,010,467.30 = 654,937,051.80 : x
  2. Step 2: Convert to fraction form
    664,006,978.20/996,010,467.30 = 654,937,051.80/x
  3. Step 3: Cross multiply
    664,006,978.20x = 996,010,467.30 × 654,937,051.80
  4. Step 4: Simplify right side
    664,006,978.20x = 652,324,159,015,402,240
  5. Step 5: Solve for x
    x = 652,324,159,015,402,240/664,006,978.20
  6. Step 6: Final answer
    x = 982,405,577.70

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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.