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Finding the Fourth Proportional to 393,530.86, 543,070.08 and 223,765

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Solution

The fourth proportional to 393,530.86, 543,070.08 and 223,765 is: 308,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,530.86 : 543,070.08 = 223,765 : x
  2. Step 2: Convert to fraction form
    393,530.86/543,070.08 = 223,765/x
  3. Step 3: Cross multiply
    393,530.86x = 543,070.08 × 223,765
  4. Step 4: Simplify right side
    393,530.86x = 121,520,076,451.20
  5. Step 5: Solve for x
    x = 121,520,076,451.20/393,530.86
  6. Step 6: Final answer
    x = 308,794.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.