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Finding the Fourth Proportional to 613,812.96, 920,661.12 and 214,380

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Solution

The fourth proportional to 613,812.96, 920,661.12 and 214,380 is: 321,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,812.96 : 920,661.12 = 214,380 : x
  2. Step 2: Convert to fraction form
    613,812.96/920,661.12 = 214,380/x
  3. Step 3: Cross multiply
    613,812.96x = 920,661.12 × 214,380
  4. Step 4: Simplify right side
    613,812.96x = 197,371,330,905.60
  5. Step 5: Solve for x
    x = 197,371,330,905.60/613,812.96
  6. Step 6: Final answer
    x = 321,549.63

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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.