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Finding the Fourth Proportional to 338,413.28, 507,621.06 and 85,693.65

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Solution

The fourth proportional to 338,413.28, 507,621.06 and 85,693.65 is: 128,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,413.28 : 507,621.06 = 85,693.65 : x
  2. Step 2: Convert to fraction form
    338,413.28/507,621.06 = 85,693.65/x
  3. Step 3: Cross multiply
    338,413.28x = 507,621.06 × 85,693.65
  4. Step 4: Simplify right side
    338,413.28x = 43,499,901,448.27
  5. Step 5: Solve for x
    x = 43,499,901,448.27/338,413.28
  6. Step 6: Final answer
    x = 128,540.77

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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.