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Finding the Fourth Proportional to 409,842.18, 565,585.20 and 228,565.80

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Solution

The fourth proportional to 409,842.18, 565,585.20 and 228,565.80 is: 315,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,842.18 : 565,585.20 = 228,565.80 : x
  2. Step 2: Convert to fraction form
    409,842.18/565,585.20 = 228,565.80/x
  3. Step 3: Cross multiply
    409,842.18x = 565,585.20 × 228,565.80
  4. Step 4: Simplify right side
    409,842.18x = 129,273,433,706.16
  5. Step 5: Solve for x
    x = 129,273,433,706.16/409,842.18
  6. Step 6: Final answer
    x = 315,422.47

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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.