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Finding the Fourth Proportional to 1,431,194.83, 1,973,016.09 and 1,138,238.08

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Solution

The fourth proportional to 1,431,194.83, 1,973,016.09 and 1,138,238.08 is: 1,569,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,194.83 : 1,973,016.09 = 1,138,238.08 : x
  2. Step 2: Convert to fraction form
    1,431,194.83/1,973,016.09 = 1,138,238.08/x
  3. Step 3: Cross multiply
    1,431,194.83x = 1,973,016.09 × 1,138,238.08
  4. Step 4: Simplify right side
    1,431,194.83x = 2,245,762,046,090.71
  5. Step 5: Solve for x
    x = 2,245,762,046,090.71/1,431,194.83
  6. Step 6: Final answer
    x = 1,569,151.87

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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.