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Finding the Fourth Proportional to 827,168.40, 1,238,128.20 and 827,168.40

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Solution

The fourth proportional to 827,168.40, 1,238,128.20 and 827,168.40 is: 1,238,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,168.40 : 1,238,128.20 = 827,168.40 : x
  2. Step 2: Convert to fraction form
    827,168.40/1,238,128.20 = 827,168.40/x
  3. Step 3: Cross multiply
    827,168.40x = 1,238,128.20 × 827,168.40
  4. Step 4: Simplify right side
    827,168.40x = 1,024,140,522,188.88
  5. Step 5: Solve for x
    x = 1,024,140,522,188.88/827,168.40
  6. Step 6: Final answer
    x = 1,238,128.20

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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.