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Finding the Fourth Proportional to 354,594.58, 489,338.20 and 201,632.78

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Solution

The fourth proportional to 354,594.58, 489,338.20 and 201,632.78 is: 278,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,594.58 : 489,338.20 = 201,632.78 : x
  2. Step 2: Convert to fraction form
    354,594.58/489,338.20 = 201,632.78/x
  3. Step 3: Cross multiply
    354,594.58x = 489,338.20 × 201,632.78
  4. Step 4: Simplify right side
    354,594.58x = 98,666,621,626.20
  5. Step 5: Solve for x
    x = 98,666,621,626.20/354,594.58
  6. Step 6: Final answer
    x = 278,251.92

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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.