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Finding the Fourth Proportional to 361,296.56, 498,587.64 and 208,334

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Solution

The fourth proportional to 361,296.56, 498,587.64 and 208,334 is: 287,499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,296.56 : 498,587.64 = 208,334 : x
  2. Step 2: Convert to fraction form
    361,296.56/498,587.64 = 208,334/x
  3. Step 3: Cross multiply
    361,296.56x = 498,587.64 × 208,334
  4. Step 4: Simplify right side
    361,296.56x = 103,872,757,391.76
  5. Step 5: Solve for x
    x = 103,872,757,391.76/361,296.56
  6. Step 6: Final answer
    x = 287,499.99

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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.