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Finding the Fourth Proportional to 409,894.80, 565,655.82 and 228,618.47

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Solution

The fourth proportional to 409,894.80, 565,655.82 and 228,618.47 is: 315,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,894.80 : 565,655.82 = 228,618.47 : x
  2. Step 2: Convert to fraction form
    409,894.80/565,655.82 = 228,618.47/x
  3. Step 3: Cross multiply
    409,894.80x = 565,655.82 × 228,618.47
  4. Step 4: Simplify right side
    409,894.80x = 129,319,368,115.00
  5. Step 5: Solve for x
    x = 129,319,368,115.00/409,894.80
  6. Step 6: Final answer
    x = 315,494.04

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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.