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Finding the Fourth Proportional to 355,495.77, 533,244.20 and 142,359.66

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Solution

The fourth proportional to 355,495.77, 533,244.20 and 142,359.66 is: 213,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,495.77 : 533,244.20 = 142,359.66 : x
  2. Step 2: Convert to fraction form
    355,495.77/533,244.20 = 142,359.66/x
  3. Step 3: Cross multiply
    355,495.77x = 533,244.20 × 142,359.66
  4. Step 4: Simplify right side
    355,495.77x = 75,912,462,297.17
  5. Step 5: Solve for x
    x = 75,912,462,297.17/355,495.77
  6. Step 6: Final answer
    x = 213,539.71

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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.