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Finding the Fourth Proportional to 409,839.48, 565,580.94 and 228,562.86

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Solution

The fourth proportional to 409,839.48, 565,580.94 and 228,562.86 is: 315,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,839.48 : 565,580.94 = 228,562.86 : x
  2. Step 2: Convert to fraction form
    409,839.48/565,580.94 = 228,562.86/x
  3. Step 3: Cross multiply
    409,839.48x = 565,580.94 × 228,562.86
  4. Step 4: Simplify right side
    409,839.48x = 129,270,797,207.89
  5. Step 5: Solve for x
    x = 129,270,797,207.89/409,839.48
  6. Step 6: Final answer
    x = 315,418.12

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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.