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Finding the Fourth Proportional to 286,212.60, 428,951.70 and 159,852.60

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Solution

The fourth proportional to 286,212.60, 428,951.70 and 159,852.60 is: 239,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,212.60 : 428,951.70 = 159,852.60 : x
  2. Step 2: Convert to fraction form
    286,212.60/428,951.70 = 159,852.60/x
  3. Step 3: Cross multiply
    286,212.60x = 428,951.70 × 159,852.60
  4. Step 4: Simplify right side
    286,212.60x = 68,569,044,519.42
  5. Step 5: Solve for x
    x = 68,569,044,519.42/286,212.60
  6. Step 6: Final answer
    x = 239,573.82

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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.