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Finding the Fourth Proportional to 441,661.31, 662,492.19 and 142,141.85

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Solution

The fourth proportional to 441,661.31, 662,492.19 and 142,141.85 is: 213,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,661.31 : 662,492.19 = 142,141.85 : x
  2. Step 2: Convert to fraction form
    441,661.31/662,492.19 = 142,141.85/x
  3. Step 3: Cross multiply
    441,661.31x = 662,492.19 × 142,141.85
  4. Step 4: Simplify right side
    441,661.31x = 94,167,865,497.15
  5. Step 5: Solve for x
    x = 94,167,865,497.15/441,661.31
  6. Step 6: Final answer
    x = 213,212.85

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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.