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Finding the Fourth Proportional to 286,043.34, 429,203.25 and 117,687.90

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Solution

The fourth proportional to 286,043.34, 429,203.25 and 117,687.90 is: 176,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,043.34 : 429,203.25 = 117,687.90 : x
  2. Step 2: Convert to fraction form
    286,043.34/429,203.25 = 117,687.90/x
  3. Step 3: Cross multiply
    286,043.34x = 429,203.25 × 117,687.90
  4. Step 4: Simplify right side
    286,043.34x = 50,512,029,165.68
  5. Step 5: Solve for x
    x = 50,512,029,165.68/286,043.34
  6. Step 6: Final answer
    x = 176,588.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.