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Finding the Fourth Proportional to 409,563.79, 565,200.65 and 228,287.21

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Solution

The fourth proportional to 409,563.79, 565,200.65 and 228,287.21 is: 315,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,563.79 : 565,200.65 = 228,287.21 : x
  2. Step 2: Convert to fraction form
    409,563.79/565,200.65 = 228,287.21/x
  3. Step 3: Cross multiply
    409,563.79x = 565,200.65 × 228,287.21
  4. Step 4: Simplify right side
    409,563.79x = 129,028,080,318.52
  5. Step 5: Solve for x
    x = 129,028,080,318.52/409,563.79
  6. Step 6: Final answer
    x = 315,037.81

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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.