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Finding the Fourth Proportional to 540,543.80, 809,649.30 and 447,231.80

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Solution

The fourth proportional to 540,543.80, 809,649.30 and 447,231.80 is: 669,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,543.80 : 809,649.30 = 447,231.80 : x
  2. Step 2: Convert to fraction form
    540,543.80/809,649.30 = 447,231.80/x
  3. Step 3: Cross multiply
    540,543.80x = 809,649.30 × 447,231.80
  4. Step 4: Simplify right side
    540,543.80x = 362,100,913,807.74
  5. Step 5: Solve for x
    x = 362,100,913,807.74/540,543.80
  6. Step 6: Final answer
    x = 669,882.65

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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.