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Finding the Fourth Proportional to 286,641.28, 395,578.38 and 159,319

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Solution

The fourth proportional to 286,641.28, 395,578.38 and 159,319 is: 219,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,641.28 : 395,578.38 = 159,319 : x
  2. Step 2: Convert to fraction form
    286,641.28/395,578.38 = 159,319/x
  3. Step 3: Cross multiply
    286,641.28x = 395,578.38 × 159,319
  4. Step 4: Simplify right side
    286,641.28x = 63,023,151,923.22
  5. Step 5: Solve for x
    x = 63,023,151,923.22/286,641.28
  6. Step 6: Final answer
    x = 219,867.68

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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.