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Finding the Fourth Proportional to 409,894.67, 565,655.65 and 228,618.35

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Solution

The fourth proportional to 409,894.67, 565,655.65 and 228,618.35 is: 315,493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,894.67 : 565,655.65 = 228,618.35 : x
  2. Step 2: Convert to fraction form
    409,894.67/565,655.65 = 228,618.35/x
  3. Step 3: Cross multiply
    409,894.67x = 565,655.65 × 228,618.35
  4. Step 4: Simplify right side
    409,894.67x = 129,319,258,542.90
  5. Step 5: Solve for x
    x = 129,319,258,542.90/409,894.67
  6. Step 6: Final answer
    x = 315,493.88

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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.