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Finding the Fourth Proportional to 361,301.56, 498,594.54 and 208,339

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Solution

The fourth proportional to 361,301.56, 498,594.54 and 208,339 is: 287,506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,301.56 : 498,594.54 = 208,339 : x
  2. Step 2: Convert to fraction form
    361,301.56/498,594.54 = 208,339/x
  3. Step 3: Cross multiply
    361,301.56x = 498,594.54 × 208,339
  4. Step 4: Simplify right side
    361,301.56x = 103,876,687,869.06
  5. Step 5: Solve for x
    x = 103,876,687,869.06/361,301.56
  6. Step 6: Final answer
    x = 287,506.89

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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.