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Finding the Fourth Proportional to 353,963.52, 488,464.02 and 192,820.50

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Solution

The fourth proportional to 353,963.52, 488,464.02 and 192,820.50 is: 266,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,963.52 : 488,464.02 = 192,820.50 : x
  2. Step 2: Convert to fraction form
    353,963.52/488,464.02 = 192,820.50/x
  3. Step 3: Cross multiply
    353,963.52x = 488,464.02 × 192,820.50
  4. Step 4: Simplify right side
    353,963.52x = 94,185,876,568.41
  5. Step 5: Solve for x
    x = 94,185,876,568.41/353,963.52
  6. Step 6: Final answer
    x = 266,089.22

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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.