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Finding the Fourth Proportional to 287,642.44, 396,929.49 and 165,106.51

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Solution

The fourth proportional to 287,642.44, 396,929.49 and 165,106.51 is: 227,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,642.44 : 396,929.49 = 165,106.51 : x
  2. Step 2: Convert to fraction form
    287,642.44/396,929.49 = 165,106.51/x
  3. Step 3: Cross multiply
    287,642.44x = 396,929.49 × 165,106.51
  4. Step 4: Simplify right side
    287,642.44x = 65,535,642,809.98
  5. Step 5: Solve for x
    x = 65,535,642,809.98/287,642.44
  6. Step 6: Final answer
    x = 227,837.18

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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.