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Finding the Fourth Proportional to 514,297.74, 771,569.78 and 214,611.61

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Solution

The fourth proportional to 514,297.74, 771,569.78 and 214,611.61 is: 321,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,297.74 : 771,569.78 = 214,611.61 : x
  2. Step 2: Convert to fraction form
    514,297.74/771,569.78 = 214,611.61/x
  3. Step 3: Cross multiply
    514,297.74x = 771,569.78 × 214,611.61
  4. Step 4: Simplify right side
    514,297.74x = 165,587,832,713.15
  5. Step 5: Solve for x
    x = 165,587,832,713.15/514,297.74
  6. Step 6: Final answer
    x = 321,968.81

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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.