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Finding the Fourth Proportional to 540,013.20, 809,047.80 and 428,427.60

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Solution

The fourth proportional to 540,013.20, 809,047.80 and 428,427.60 is: 641,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,013.20 : 809,047.80 = 428,427.60 : x
  2. Step 2: Convert to fraction form
    540,013.20/809,047.80 = 428,427.60/x
  3. Step 3: Cross multiply
    540,013.20x = 809,047.80 × 428,427.60
  4. Step 4: Simplify right side
    540,013.20x = 346,618,407,239.28
  5. Step 5: Solve for x
    x = 346,618,407,239.28/540,013.20
  6. Step 6: Final answer
    x = 641,870.25

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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.