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Finding the Fourth Proportional to 409,407.76, 614,295.96 and 222,138.64

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Solution

The fourth proportional to 409,407.76, 614,295.96 and 222,138.64 is: 333,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,407.76 : 614,295.96 = 222,138.64 : x
  2. Step 2: Convert to fraction form
    409,407.76/614,295.96 = 222,138.64/x
  3. Step 3: Cross multiply
    409,407.76x = 614,295.96 × 222,138.64
  4. Step 4: Simplify right side
    409,407.76x = 136,458,869,111.89
  5. Step 5: Solve for x
    x = 136,458,869,111.89/409,407.76
  6. Step 6: Final answer
    x = 333,307.97

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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.