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Finding the Fourth Proportional to 475,659.82, 656,431.05 and 284,636.44

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Solution

The fourth proportional to 475,659.82, 656,431.05 and 284,636.44 is: 392,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,659.82 : 656,431.05 = 284,636.44 : x
  2. Step 2: Convert to fraction form
    475,659.82/656,431.05 = 284,636.44/x
  3. Step 3: Cross multiply
    475,659.82x = 656,431.05 × 284,636.44
  4. Step 4: Simplify right side
    475,659.82x = 186,844,197,177.46
  5. Step 5: Solve for x
    x = 186,844,197,177.46/475,659.82
  6. Step 6: Final answer
    x = 392,810.55

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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.