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Finding the Fourth Proportional to 361,402.17, 498,726.72 and 208,440.66

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Solution

The fourth proportional to 361,402.17, 498,726.72 and 208,440.66 is: 287,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,402.17 : 498,726.72 = 208,440.66 : x
  2. Step 2: Convert to fraction form
    361,402.17/498,726.72 = 208,440.66/x
  3. Step 3: Cross multiply
    361,402.17x = 498,726.72 × 208,440.66
  4. Step 4: Simplify right side
    361,402.17x = 103,954,926,676.44
  5. Step 5: Solve for x
    x = 103,954,926,676.44/361,402.17
  6. Step 6: Final answer
    x = 287,643.34

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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.