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Finding the Fourth Proportional to 354,471.95, 489,152.07 and 201,488.91

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Solution

The fourth proportional to 354,471.95, 489,152.07 and 201,488.91 is: 278,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,471.95 : 489,152.07 = 201,488.91 : x
  2. Step 2: Convert to fraction form
    354,471.95/489,152.07 = 201,488.91/x
  3. Step 3: Cross multiply
    354,471.95x = 489,152.07 × 201,488.91
  4. Step 4: Simplify right side
    354,471.95x = 98,558,717,408.54
  5. Step 5: Solve for x
    x = 98,558,717,408.54/354,471.95
  6. Step 6: Final answer
    x = 278,043.77

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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.