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Finding the Fourth Proportional to 415,708.70, 622,006.05 and 296,042.30

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Solution

The fourth proportional to 415,708.70, 622,006.05 and 296,042.30 is: 442,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,708.70 : 622,006.05 = 296,042.30 : x
  2. Step 2: Convert to fraction form
    415,708.70/622,006.05 = 296,042.30/x
  3. Step 3: Cross multiply
    415,708.70x = 622,006.05 × 296,042.30
  4. Step 4: Simplify right side
    415,708.70x = 184,140,101,655.92
  5. Step 5: Solve for x
    x = 184,140,101,655.92/415,708.70
  6. Step 6: Final answer
    x = 442,954.65

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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.