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Finding the Fourth Proportional to 441,663.31, 662,495.19 and 142,143.85

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Solution

The fourth proportional to 441,663.31, 662,495.19 and 142,143.85 is: 213,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,663.31 : 662,495.19 = 142,143.85 : x
  2. Step 2: Convert to fraction form
    441,663.31/662,495.19 = 142,143.85/x
  3. Step 3: Cross multiply
    441,663.31x = 662,495.19 × 142,143.85
  4. Step 4: Simplify right side
    441,663.31x = 94,169,616,913.08
  5. Step 5: Solve for x
    x = 94,169,616,913.08/441,663.31
  6. Step 6: Final answer
    x = 213,215.85

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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.