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Finding the Fourth Proportional to 286,801.71, 395,787.32 and 159,477

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Solution

The fourth proportional to 286,801.71, 395,787.32 and 159,477 is: 220,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,801.71 : 395,787.32 = 159,477 : x
  2. Step 2: Convert to fraction form
    286,801.71/395,787.32 = 159,477/x
  3. Step 3: Cross multiply
    286,801.71x = 395,787.32 × 159,477
  4. Step 4: Simplify right side
    286,801.71x = 63,118,973,634.26
  5. Step 5: Solve for x
    x = 63,118,973,634.26/286,801.71
  6. Step 6: Final answer
    x = 220,078.79

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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.