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Finding the Fourth Proportional to 408,085.40, 611,690.70 and 155,268.20

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Solution

The fourth proportional to 408,085.40, 611,690.70 and 155,268.20 is: 232,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,085.40 : 611,690.70 = 155,268.20 : x
  2. Step 2: Convert to fraction form
    408,085.40/611,690.70 = 155,268.20/x
  3. Step 3: Cross multiply
    408,085.40x = 611,690.70 × 155,268.20
  4. Step 4: Simplify right side
    408,085.40x = 94,976,113,945.74
  5. Step 5: Solve for x
    x = 94,976,113,945.74/408,085.40
  6. Step 6: Final answer
    x = 232,735.88

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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.