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Finding the Fourth Proportional to 409,568.69, 565,207.40 and 228,292.11

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Solution

The fourth proportional to 409,568.69, 565,207.40 and 228,292.11 is: 315,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,568.69 : 565,207.40 = 228,292.11 : x
  2. Step 2: Convert to fraction form
    409,568.69/565,207.40 = 228,292.11/x
  3. Step 3: Cross multiply
    409,568.69x = 565,207.40 × 228,292.11
  4. Step 4: Simplify right side
    409,568.69x = 129,032,388,792.15
  5. Step 5: Solve for x
    x = 129,032,388,792.15/409,568.69
  6. Step 6: Final answer
    x = 315,044.57

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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.