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Finding the Fourth Proportional to 354,425.81, 489,119.85 and 201,470.40

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Solution

The fourth proportional to 354,425.81, 489,119.85 and 201,470.40 is: 278,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,425.81 : 489,119.85 = 201,470.40 : x
  2. Step 2: Convert to fraction form
    354,425.81/489,119.85 = 201,470.40/x
  3. Step 3: Cross multiply
    354,425.81x = 489,119.85 × 201,470.40
  4. Step 4: Simplify right side
    354,425.81x = 98,543,171,827.44
  5. Step 5: Solve for x
    x = 98,543,171,827.44/354,425.81
  6. Step 6: Final answer
    x = 278,036.11

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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.