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Finding the Fourth Proportional to 393,508.68, 590,387.60 and 140,783.60

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Solution

The fourth proportional to 393,508.68, 590,387.60 and 140,783.60 is: 211,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,508.68 : 590,387.60 = 140,783.60 : x
  2. Step 2: Convert to fraction form
    393,508.68/590,387.60 = 140,783.60/x
  3. Step 3: Cross multiply
    393,508.68x = 590,387.60 × 140,783.60
  4. Step 4: Simplify right side
    393,508.68x = 83,116,891,723.36
  5. Step 5: Solve for x
    x = 83,116,891,723.36/393,508.68
  6. Step 6: Final answer
    x = 211,219.97

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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.