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Finding the Fourth Proportional to 415,214.03, 622,821.06 and 99,670.95

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Solution

The fourth proportional to 415,214.03, 622,821.06 and 99,670.95 is: 149,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,214.03 : 622,821.06 = 99,670.95 : x
  2. Step 2: Convert to fraction form
    415,214.03/622,821.06 = 99,670.95/x
  3. Step 3: Cross multiply
    415,214.03x = 622,821.06 × 99,670.95
  4. Step 4: Simplify right side
    415,214.03x = 62,077,166,730.21
  5. Step 5: Solve for x
    x = 62,077,166,730.21/415,214.03
  6. Step 6: Final answer
    x = 149,506.43

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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.