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Finding the Fourth Proportional to 286,275.28, 395,047.92 and 158,943.28

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Solution

The fourth proportional to 286,275.28, 395,047.92 and 158,943.28 is: 219,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,275.28 : 395,047.92 = 158,943.28 : x
  2. Step 2: Convert to fraction form
    286,275.28/395,047.92 = 158,943.28/x
  3. Step 3: Cross multiply
    286,275.28x = 395,047.92 × 158,943.28
  4. Step 4: Simplify right side
    286,275.28x = 62,790,212,161.98
  5. Step 5: Solve for x
    x = 62,790,212,161.98/286,275.28
  6. Step 6: Final answer
    x = 219,335.08

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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.