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Finding the Fourth Proportional to 286,714.78, 395,679.90 and 159,392.50

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Solution

The fourth proportional to 286,714.78, 395,679.90 and 159,392.50 is: 219,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,714.78 : 395,679.90 = 159,392.50 : x
  2. Step 2: Convert to fraction form
    286,714.78/395,679.90 = 159,392.50/x
  3. Step 3: Cross multiply
    286,714.78x = 395,679.90 × 159,392.50
  4. Step 4: Simplify right side
    286,714.78x = 63,068,408,460.75
  5. Step 5: Solve for x
    x = 63,068,408,460.75/286,714.78
  6. Step 6: Final answer
    x = 219,969.16

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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.