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Finding the Fourth Proportional to 5,476,857.90, 8,216,064.45 and 1,689,945.90

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Solution

The fourth proportional to 5,476,857.90, 8,216,064.45 and 1,689,945.90 is: 2,535,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476,857.90 : 8,216,064.45 = 1,689,945.90 : x
  2. Step 2: Convert to fraction form
    5,476,857.90/8,216,064.45 = 1,689,945.90/x
  3. Step 3: Cross multiply
    5,476,857.90x = 8,216,064.45 × 1,689,945.90
  4. Step 4: Simplify right side
    5,476,857.90x = 13,884,704,431,413.25
  5. Step 5: Solve for x
    x = 13,884,704,431,413.25/5,476,857.90
  6. Step 6: Final answer
    x = 2,535,158.79

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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.