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Finding the Fourth Proportional to 355,034.94, 489,952.11 and 193,894.74

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Solution

The fourth proportional to 355,034.94, 489,952.11 and 193,894.74 is: 267,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,034.94 : 489,952.11 = 193,894.74 : x
  2. Step 2: Convert to fraction form
    355,034.94/489,952.11 = 193,894.74/x
  3. Step 3: Cross multiply
    355,034.94x = 489,952.11 × 193,894.74
  4. Step 4: Simplify right side
    355,034.94x = 94,999,136,980.90
  5. Step 5: Solve for x
    x = 94,999,136,980.90/355,034.94
  6. Step 6: Final answer
    x = 267,576.87

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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.