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Finding the Fourth Proportional to 1,340,115.17, 1,849,789.91 and 857,978.87

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Solution

The fourth proportional to 1,340,115.17, 1,849,789.91 and 857,978.87 is: 1,184,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,115.17 : 1,849,789.91 = 857,978.87 : x
  2. Step 2: Convert to fraction form
    1,340,115.17/1,849,789.91 = 857,978.87/x
  3. Step 3: Cross multiply
    1,340,115.17x = 1,849,789.91 × 857,978.87
  4. Step 4: Simplify right side
    1,340,115.17x = 1,587,080,649,615.20
  5. Step 5: Solve for x
    x = 1,587,080,649,615.20/1,340,115.17
  6. Step 6: Final answer
    x = 1,184,286.76

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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.