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Finding the Fourth Proportional to 827,494.40, 1,241,587.20 and 266,700.80

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Solution

The fourth proportional to 827,494.40, 1,241,587.20 and 266,700.80 is: 400,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,494.40 : 1,241,587.20 = 266,700.80 : x
  2. Step 2: Convert to fraction form
    827,494.40/1,241,587.20 = 266,700.80/x
  3. Step 3: Cross multiply
    827,494.40x = 1,241,587.20 × 266,700.80
  4. Step 4: Simplify right side
    827,494.40x = 331,132,299,509.76
  5. Step 5: Solve for x
    x = 331,132,299,509.76/827,494.40
  6. Step 6: Final answer
    x = 400,162.59

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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.