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Finding the Fourth Proportional to 301,413.77, 415,928.14 and 165,426.11

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Solution

The fourth proportional to 301,413.77, 415,928.14 and 165,426.11 is: 228,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,413.77 : 415,928.14 = 165,426.11 : x
  2. Step 2: Convert to fraction form
    301,413.77/415,928.14 = 165,426.11/x
  3. Step 3: Cross multiply
    301,413.77x = 415,928.14 × 165,426.11
  4. Step 4: Simplify right side
    301,413.77x = 68,805,374,239.74
  5. Step 5: Solve for x
    x = 68,805,374,239.74/301,413.77
  6. Step 6: Final answer
    x = 228,275.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.