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Finding the Fourth Proportional to 206,411.60, 309,617.40 and 122,430.80

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Solution

The fourth proportional to 206,411.60, 309,617.40 and 122,430.80 is: 183,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,411.60 : 309,617.40 = 122,430.80 : x
  2. Step 2: Convert to fraction form
    206,411.60/309,617.40 = 122,430.80/x
  3. Step 3: Cross multiply
    206,411.60x = 309,617.40 × 122,430.80
  4. Step 4: Simplify right side
    206,411.60x = 37,906,705,975.92
  5. Step 5: Solve for x
    x = 37,906,705,975.92/206,411.60
  6. Step 6: Final answer
    x = 183,646.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.