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Finding the Fourth Proportional to 393,141.60, 589,712.40 and 235,288.80

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Solution

The fourth proportional to 393,141.60, 589,712.40 and 235,288.80 is: 352,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,141.60 : 589,712.40 = 235,288.80 : x
  2. Step 2: Convert to fraction form
    393,141.60/589,712.40 = 235,288.80/x
  3. Step 3: Cross multiply
    393,141.60x = 589,712.40 × 235,288.80
  4. Step 4: Simplify right side
    393,141.60x = 138,752,722,941.12
  5. Step 5: Solve for x
    x = 138,752,722,941.12/393,141.60
  6. Step 6: Final answer
    x = 352,933.20

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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.