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Finding the Fourth Proportional to 409,952.64, 565,735.51 and 228,659.91

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Solution

The fourth proportional to 409,952.64, 565,735.51 and 228,659.91 is: 315,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,952.64 : 565,735.51 = 228,659.91 : x
  2. Step 2: Convert to fraction form
    409,952.64/565,735.51 = 228,659.91/x
  3. Step 3: Cross multiply
    409,952.64x = 565,735.51 × 228,659.91
  4. Step 4: Simplify right side
    409,952.64x = 129,361,028,964.72
  5. Step 5: Solve for x
    x = 129,361,028,964.72/409,952.64
  6. Step 6: Final answer
    x = 315,551.15

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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.