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Finding the Fourth Proportional to 353,801.93, 488,258.69 and 198,780.53

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Solution

The fourth proportional to 353,801.93, 488,258.69 and 198,780.53 is: 274,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,801.93 : 488,258.69 = 198,780.53 : x
  2. Step 2: Convert to fraction form
    353,801.93/488,258.69 = 198,780.53/x
  3. Step 3: Cross multiply
    353,801.93x = 488,258.69 × 198,780.53
  4. Step 4: Simplify right side
    353,801.93x = 97,056,320,486.56
  5. Step 5: Solve for x
    x = 97,056,320,486.56/353,801.93
  6. Step 6: Final answer
    x = 274,323.89

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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.