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Finding the Fourth Proportional to 540,047.20, 809,098.80 and 428,461.60

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Solution

The fourth proportional to 540,047.20, 809,098.80 and 428,461.60 is: 641,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,047.20 : 809,098.80 = 428,461.60 : x
  2. Step 2: Convert to fraction form
    540,047.20/809,098.80 = 428,461.60/x
  3. Step 3: Cross multiply
    540,047.20x = 809,098.80 × 428,461.60
  4. Step 4: Simplify right side
    540,047.20x = 346,667,766,406.08
  5. Step 5: Solve for x
    x = 346,667,766,406.08/540,047.20
  6. Step 6: Final answer
    x = 641,921.24

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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.