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Finding the Fourth Proportional to 354,538.27, 489,250.69 and 211,295.71

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Solution

The fourth proportional to 354,538.27, 489,250.69 and 211,295.71 is: 291,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,538.27 : 489,250.69 = 211,295.71 : x
  2. Step 2: Convert to fraction form
    354,538.27/489,250.69 = 211,295.71/x
  3. Step 3: Cross multiply
    354,538.27x = 489,250.69 × 211,295.71
  4. Step 4: Simplify right side
    354,538.27x = 103,376,571,911.54
  5. Step 5: Solve for x
    x = 103,376,571,911.54/354,538.27
  6. Step 6: Final answer
    x = 291,580.86

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1.5x scale

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.