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Finding the Fourth Proportional to 1,400,630.40, 1,932,790.68 and 827,723.88

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Solution

The fourth proportional to 1,400,630.40, 1,932,790.68 and 827,723.88 is: 1,142,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400,630.40 : 1,932,790.68 = 827,723.88 : x
  2. Step 2: Convert to fraction form
    1,400,630.40/1,932,790.68 = 827,723.88/x
  3. Step 3: Cross multiply
    1,400,630.40x = 1,932,790.68 × 827,723.88
  4. Step 4: Simplify right side
    1,400,630.40x = 1,599,817,000,877.44
  5. Step 5: Solve for x
    x = 1,599,817,000,877.44/1,400,630.40
  6. Step 6: Final answer
    x = 1,142,212.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.