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Finding the Fourth Proportional to 827,202.30, 1,241,019.45 and 266,250.30

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Solution

The fourth proportional to 827,202.30, 1,241,019.45 and 266,250.30 is: 399,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,202.30 : 1,241,019.45 = 266,250.30 : x
  2. Step 2: Convert to fraction form
    827,202.30/1,241,019.45 = 266,250.30/x
  3. Step 3: Cross multiply
    827,202.30x = 1,241,019.45 × 266,250.30
  4. Step 4: Simplify right side
    827,202.30x = 330,421,800,868.34
  5. Step 5: Solve for x
    x = 330,421,800,868.34/827,202.30
  6. Step 6: Final answer
    x = 399,444.97

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1.5x scale

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.