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Finding the Fourth Proportional to 354,591.06, 489,315.73 and 201,666.45

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Solution

The fourth proportional to 354,591.06, 489,315.73 and 201,666.45 is: 278,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,591.06 : 489,315.73 = 201,666.45 : x
  2. Step 2: Convert to fraction form
    354,591.06/489,315.73 = 201,666.45/x
  3. Step 3: Cross multiply
    354,591.06x = 489,315.73 × 201,666.45
  4. Step 4: Simplify right side
    354,591.06x = 98,678,565,189.93
  5. Step 5: Solve for x
    x = 98,678,565,189.93/354,591.06
  6. Step 6: Final answer
    x = 278,288.36

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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.