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Finding the Fourth Proportional to 540,537.80, 809,640.30 and 447,225.80

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Solution

The fourth proportional to 540,537.80, 809,640.30 and 447,225.80 is: 669,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,537.80 : 809,640.30 = 447,225.80 : x
  2. Step 2: Convert to fraction form
    540,537.80/809,640.30 = 447,225.80/x
  3. Step 3: Cross multiply
    540,537.80x = 809,640.30 × 447,225.80
  4. Step 4: Simplify right side
    540,537.80x = 362,092,030,879.74
  5. Step 5: Solve for x
    x = 362,092,030,879.74/540,537.80
  6. Step 6: Final answer
    x = 669,873.65

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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.