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Finding the Fourth Proportional to 542,361.09, 813,549.84 and 205,311.25

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Solution

The fourth proportional to 542,361.09, 813,549.84 and 205,311.25 is: 307,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,361.09 : 813,549.84 = 205,311.25 : x
  2. Step 2: Convert to fraction form
    542,361.09/813,549.84 = 205,311.25/x
  3. Step 3: Cross multiply
    542,361.09x = 813,549.84 × 205,311.25
  4. Step 4: Simplify right side
    542,361.09x = 167,030,931,413.38
  5. Step 5: Solve for x
    x = 167,030,931,413.38/542,361.09
  6. Step 6: Final answer
    x = 307,969.98

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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.