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Finding the Fourth Proportional to 412,556.76, 618,191.10 and 286,443

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Solution

The fourth proportional to 412,556.76, 618,191.10 and 286,443 is: 429,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,556.76 : 618,191.10 = 286,443 : x
  2. Step 2: Convert to fraction form
    412,556.76/618,191.10 = 286,443/x
  3. Step 3: Cross multiply
    412,556.76x = 618,191.10 × 286,443
  4. Step 4: Simplify right side
    412,556.76x = 177,076,513,257.30
  5. Step 5: Solve for x
    x = 177,076,513,257.30/412,556.76
  6. Step 6: Final answer
    x = 429,217.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.