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Finding the Fourth Proportional to 454,580.50, 681,723.06 and 214,657.30

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Solution

The fourth proportional to 454,580.50, 681,723.06 and 214,657.30 is: 321,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,580.50 : 681,723.06 = 214,657.30 : x
  2. Step 2: Convert to fraction form
    454,580.50/681,723.06 = 214,657.30/x
  3. Step 3: Cross multiply
    454,580.50x = 681,723.06 × 214,657.30
  4. Step 4: Simplify right side
    454,580.50x = 146,336,831,407.34
  5. Step 5: Solve for x
    x = 146,336,831,407.34/454,580.50
  6. Step 6: Final answer
    x = 321,916.21

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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.