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Finding the Fourth Proportional to 393,367.80, 590,051.70 and 109,057.80

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Solution

The fourth proportional to 393,367.80, 590,051.70 and 109,057.80 is: 163,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,367.80 : 590,051.70 = 109,057.80 : x
  2. Step 2: Convert to fraction form
    393,367.80/590,051.70 = 109,057.80/x
  3. Step 3: Cross multiply
    393,367.80x = 590,051.70 × 109,057.80
  4. Step 4: Simplify right side
    393,367.80x = 64,349,740,288.26
  5. Step 5: Solve for x
    x = 64,349,740,288.26/393,367.80
  6. Step 6: Final answer
    x = 163,586.70

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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.