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Finding the Fourth Proportional to 415,708.20, 622,005.30 and 296,041.80

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Solution

The fourth proportional to 415,708.20, 622,005.30 and 296,041.80 is: 442,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,708.20 : 622,005.30 = 296,041.80 : x
  2. Step 2: Convert to fraction form
    415,708.20/622,005.30 = 296,041.80/x
  3. Step 3: Cross multiply
    415,708.20x = 622,005.30 × 296,041.80
  4. Step 4: Simplify right side
    415,708.20x = 184,139,568,621.54
  5. Step 5: Solve for x
    x = 184,139,568,621.54/415,708.20
  6. Step 6: Final answer
    x = 442,953.90

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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.