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Finding the Fourth Proportional to 361,496.13, 498,750.66 and 208,513.82

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Solution

The fourth proportional to 361,496.13, 498,750.66 and 208,513.82 is: 287,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,496.13 : 498,750.66 = 208,513.82 : x
  2. Step 2: Convert to fraction form
    361,496.13/498,750.66 = 208,513.82/x
  3. Step 3: Cross multiply
    361,496.13x = 498,750.66 × 208,513.82
  4. Step 4: Simplify right side
    361,496.13x = 103,996,402,850.37
  5. Step 5: Solve for x
    x = 103,996,402,850.37/361,496.13
  6. Step 6: Final answer
    x = 287,683.31

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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.