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Finding the Fourth Proportional to 361,275.78, 498,458.76 and 208,301.94

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Solution

The fourth proportional to 361,275.78, 498,458.76 and 208,301.94 is: 287,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,275.78 : 498,458.76 = 208,301.94 : x
  2. Step 2: Convert to fraction form
    361,275.78/498,458.76 = 208,301.94/x
  3. Step 3: Cross multiply
    361,275.78x = 498,458.76 × 208,301.94
  4. Step 4: Simplify right side
    361,275.78x = 103,829,926,717.99
  5. Step 5: Solve for x
    x = 103,829,926,717.99/361,275.78
  6. Step 6: Final answer
    x = 287,397.97

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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.