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Finding the Fourth Proportional to 354,688.18, 489,470.93 and 193,546.78

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Solution

The fourth proportional to 354,688.18, 489,470.93 and 193,546.78 is: 267,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,688.18 : 489,470.93 = 193,546.78 : x
  2. Step 2: Convert to fraction form
    354,688.18/489,470.93 = 193,546.78/x
  3. Step 3: Cross multiply
    354,688.18x = 489,470.93 × 193,546.78
  4. Step 4: Simplify right side
    354,688.18x = 94,735,521,437.37
  5. Step 5: Solve for x
    x = 94,735,521,437.37/354,688.18
  6. Step 6: Final answer
    x = 267,095.23

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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.