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Finding the Fourth Proportional to 353,797.22, 488,111.95 and 200,746.78

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Solution

The fourth proportional to 353,797.22, 488,111.95 and 200,746.78 is: 276,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,797.22 : 488,111.95 = 200,746.78 : x
  2. Step 2: Convert to fraction form
    353,797.22/488,111.95 = 200,746.78/x
  3. Step 3: Cross multiply
    353,797.22x = 488,111.95 × 200,746.78
  4. Step 4: Simplify right side
    353,797.22x = 97,986,901,272.67
  5. Step 5: Solve for x
    x = 97,986,901,272.67/353,797.22
  6. Step 6: Final answer
    x = 276,957.80

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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.