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Finding the Fourth Proportional to 540,387.27, 810,722.87 and 194,205.70

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Solution

The fourth proportional to 540,387.27, 810,722.87 and 194,205.70 is: 291,359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,387.27 : 810,722.87 = 194,205.70 : x
  2. Step 2: Convert to fraction form
    540,387.27/810,722.87 = 194,205.70/x
  3. Step 3: Cross multiply
    540,387.27x = 810,722.87 × 194,205.70
  4. Step 4: Simplify right side
    540,387.27x = 157,447,005,934.01
  5. Step 5: Solve for x
    x = 157,447,005,934.01/540,387.27
  6. Step 6: Final answer
    x = 291,359.57

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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.