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Finding the Fourth Proportional to 393,847.80, 590,771.70 and 169,315.80

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Solution

The fourth proportional to 393,847.80, 590,771.70 and 169,315.80 is: 253,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,847.80 : 590,771.70 = 169,315.80 : x
  2. Step 2: Convert to fraction form
    393,847.80/590,771.70 = 169,315.80/x
  3. Step 3: Cross multiply
    393,847.80x = 590,771.70 × 169,315.80
  4. Step 4: Simplify right side
    393,847.80x = 100,026,983,002.86
  5. Step 5: Solve for x
    x = 100,026,983,002.86/393,847.80
  6. Step 6: Final answer
    x = 253,973.70

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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.