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Finding the Fourth Proportional to 342,442.89, 472,611.11 and 199,208.97

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Solution

The fourth proportional to 342,442.89, 472,611.11 and 199,208.97 is: 274,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,442.89 : 472,611.11 = 199,208.97 : x
  2. Step 2: Convert to fraction form
    342,442.89/472,611.11 = 199,208.97/x
  3. Step 3: Cross multiply
    342,442.89x = 472,611.11 × 199,208.97
  4. Step 4: Simplify right side
    342,442.89x = 94,148,371,437.61
  5. Step 5: Solve for x
    x = 94,148,371,437.61/342,442.89
  6. Step 6: Final answer
    x = 274,931.60

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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.