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Finding the Fourth Proportional to 978,633,321.67, 1,466,012,870.85 and 855,950,166.82

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Solution

The fourth proportional to 978,633,321.67, 1,466,012,870.85 and 855,950,166.82 is: 1,282,230,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,633,321.67 : 1,466,012,870.85 = 855,950,166.82 : x
  2. Step 2: Convert to fraction form
    978,633,321.67/1,466,012,870.85 = 855,950,166.82/x
  3. Step 3: Cross multiply
    978,633,321.67x = 1,466,012,870.85 × 855,950,166.82
  4. Step 4: Simplify right side
    978,633,321.67x = 1,254,833,961,356,994,560
  5. Step 5: Solve for x
    x = 1,254,833,961,356,994,560/978,633,321.67
  6. Step 6: Final answer
    x = 1,282,230,978.22

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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.