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Finding the Fourth Proportional to 538,692.81, 743,400.90 and 296,983.92

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Solution

The fourth proportional to 538,692.81, 743,400.90 and 296,983.92 is: 409,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,692.81 : 743,400.90 = 296,983.92 : x
  2. Step 2: Convert to fraction form
    538,692.81/743,400.90 = 296,983.92/x
  3. Step 3: Cross multiply
    538,692.81x = 743,400.90 × 296,983.92
  4. Step 4: Simplify right side
    538,692.81x = 220,778,113,413.53
  5. Step 5: Solve for x
    x = 220,778,113,413.53/538,692.81
  6. Step 6: Final answer
    x = 409,840.47

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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.