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Finding the Fourth Proportional to 354,584.50, 489,327.80 and 193,442.95

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Solution

The fourth proportional to 354,584.50, 489,327.80 and 193,442.95 is: 266,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,584.50 : 489,327.80 = 193,442.95 : x
  2. Step 2: Convert to fraction form
    354,584.50/489,327.80 = 193,442.95/x
  3. Step 3: Cross multiply
    354,584.50x = 489,327.80 × 193,442.95
  4. Step 4: Simplify right side
    354,584.50x = 94,657,013,149.01
  5. Step 5: Solve for x
    x = 94,657,013,149.01/354,584.50
  6. Step 6: Final answer
    x = 266,951.92

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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.