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Finding the Fourth Proportional to 409,952.52, 565,735.34 and 228,659.78

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Solution

The fourth proportional to 409,952.52, 565,735.34 and 228,659.78 is: 315,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,952.52 : 565,735.34 = 228,659.78 : x
  2. Step 2: Convert to fraction form
    409,952.52/565,735.34 = 228,659.78/x
  3. Step 3: Cross multiply
    409,952.52x = 565,735.34 × 228,659.78
  4. Step 4: Simplify right side
    409,952.52x = 129,360,918,382.63
  5. Step 5: Solve for x
    x = 129,360,918,382.63/409,952.52
  6. Step 6: Final answer
    x = 315,550.98

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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.