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Finding the Fourth Proportional to 309,413.31, 464,120.37 and 84,775.65

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Solution

The fourth proportional to 309,413.31, 464,120.37 and 84,775.65 is: 127,163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,413.31 : 464,120.37 = 84,775.65 : x
  2. Step 2: Convert to fraction form
    309,413.31/464,120.37 = 84,775.65/x
  3. Step 3: Cross multiply
    309,413.31x = 464,120.37 × 84,775.65
  4. Step 4: Simplify right side
    309,413.31x = 39,346,106,044.99
  5. Step 5: Solve for x
    x = 39,346,106,044.99/309,413.31
  6. Step 6: Final answer
    x = 127,163.59

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1.5x scale

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.