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Finding the Fourth Proportional to 441,663.32, 662,495.20 and 142,143.86

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Solution

The fourth proportional to 441,663.32, 662,495.20 and 142,143.86 is: 213,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,663.32 : 662,495.20 = 142,143.86 : x
  2. Step 2: Convert to fraction form
    441,663.32/662,495.20 = 142,143.86/x
  3. Step 3: Cross multiply
    441,663.32x = 662,495.20 × 142,143.86
  4. Step 4: Simplify right side
    441,663.32x = 94,169,624,959.47
  5. Step 5: Solve for x
    x = 94,169,624,959.47/441,663.32
  6. Step 6: Final answer
    x = 213,215.86

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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.