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Finding the Fourth Proportional to 354,639.66, 489,402 and 193,494.61

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Solution

The fourth proportional to 354,639.66, 489,402 and 193,494.61 is: 267,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,639.66 : 489,402 = 193,494.61 : x
  2. Step 2: Convert to fraction form
    354,639.66/489,402 = 193,494.61/x
  3. Step 3: Cross multiply
    354,639.66x = 489,402 × 193,494.61
  4. Step 4: Simplify right side
    354,639.66x = 94,696,649,123.22
  5. Step 5: Solve for x
    x = 94,696,649,123.22/354,639.66
  6. Step 6: Final answer
    x = 267,022.16

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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.