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Finding the Fourth Proportional to 540,397, 810,611.96 and 185,406.04

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Solution

The fourth proportional to 540,397, 810,611.96 and 185,406.04 is: 278,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,397 : 810,611.96 = 185,406.04 : x
  2. Step 2: Convert to fraction form
    540,397/810,611.96 = 185,406.04/x
  3. Step 3: Cross multiply
    540,397x = 810,611.96 × 185,406.04
  4. Step 4: Simplify right side
    540,397x = 150,292,353,480.24
  5. Step 5: Solve for x
    x = 150,292,353,480.24/540,397
  6. Step 6: Final answer
    x = 278,114.71

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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.