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Finding the Fourth Proportional to 493,413.96, 740,167.38 and 138,426.60

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Solution

The fourth proportional to 493,413.96, 740,167.38 and 138,426.60 is: 207,652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,413.96 : 740,167.38 = 138,426.60 : x
  2. Step 2: Convert to fraction form
    493,413.96/740,167.38 = 138,426.60/x
  3. Step 3: Cross multiply
    493,413.96x = 740,167.38 × 138,426.60
  4. Step 4: Simplify right side
    493,413.96x = 102,458,853,844.31
  5. Step 5: Solve for x
    x = 102,458,853,844.31/493,413.96
  6. Step 6: Final answer
    x = 207,652.93

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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.