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Finding the Fourth Proportional to 309,260.30, 426,780.70 and 201,766.82

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Solution

The fourth proportional to 309,260.30, 426,780.70 and 201,766.82 is: 278,439.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,260.30 : 426,780.70 = 201,766.82 : x
  2. Step 2: Convert to fraction form
    309,260.30/426,780.70 = 201,766.82/x
  3. Step 3: Cross multiply
    309,260.30x = 426,780.70 × 201,766.82
  4. Step 4: Simplify right side
    309,260.30x = 86,110,182,038.05
  5. Step 5: Solve for x
    x = 86,110,182,038.05/309,260.30
  6. Step 6: Final answer
    x = 278,439.18

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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.