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Finding the Fourth Proportional to 1,557,964.48, 2,149,978.80 and 842,572.48

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Solution

The fourth proportional to 1,557,964.48, 2,149,978.80 and 842,572.48 is: 1,162,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557,964.48 : 2,149,978.80 = 842,572.48 : x
  2. Step 2: Convert to fraction form
    1,557,964.48/2,149,978.80 = 842,572.48/x
  3. Step 3: Cross multiply
    1,557,964.48x = 2,149,978.80 × 842,572.48
  4. Step 4: Simplify right side
    1,557,964.48x = 1,811,512,969,463.42
  5. Step 5: Solve for x
    x = 1,811,512,969,463.42/1,557,964.48
  6. Step 6: Final answer
    x = 1,162,743.43

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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.