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Finding the Fourth Proportional to 493,435.80, 680,957.82 and 302,412.24

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Solution

The fourth proportional to 493,435.80, 680,957.82 and 302,412.24 is: 417,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,435.80 : 680,957.82 = 302,412.24 : x
  2. Step 2: Convert to fraction form
    493,435.80/680,957.82 = 302,412.24/x
  3. Step 3: Cross multiply
    493,435.80x = 680,957.82 × 302,412.24
  4. Step 4: Simplify right side
    493,435.80x = 205,929,979,691.72
  5. Step 5: Solve for x
    x = 205,929,979,691.72/493,435.80
  6. Step 6: Final answer
    x = 417,338.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.