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Finding the Fourth Proportional to 415,730.70, 622,039.05 and 296,064.30

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Solution

The fourth proportional to 415,730.70, 622,039.05 and 296,064.30 is: 442,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,730.70 : 622,039.05 = 296,064.30 : x
  2. Step 2: Convert to fraction form
    415,730.70/622,039.05 = 296,064.30/x
  3. Step 3: Cross multiply
    415,730.70x = 622,039.05 × 296,064.30
  4. Step 4: Simplify right side
    415,730.70x = 184,163,555,910.92
  5. Step 5: Solve for x
    x = 184,163,555,910.92/415,730.70
  6. Step 6: Final answer
    x = 442,987.63

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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.