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Finding the Fourth Proportional to 353,718.68, 488,296.29 and 208,478.64

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Solution

The fourth proportional to 353,718.68, 488,296.29 and 208,478.64 is: 287,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,718.68 : 488,296.29 = 208,478.64 : x
  2. Step 2: Convert to fraction form
    353,718.68/488,296.29 = 208,478.64/x
  3. Step 3: Cross multiply
    353,718.68x = 488,296.29 × 208,478.64
  4. Step 4: Simplify right side
    353,718.68x = 101,799,346,456.25
  5. Step 5: Solve for x
    x = 101,799,346,456.25/353,718.68
  6. Step 6: Final answer
    x = 287,797.49

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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.