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Finding the Fourth Proportional to 613,708.48, 920,707.50 and 192,984.34

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Solution

The fourth proportional to 613,708.48, 920,707.50 and 192,984.34 is: 289,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,708.48 : 920,707.50 = 192,984.34 : x
  2. Step 2: Convert to fraction form
    613,708.48/920,707.50 = 192,984.34/x
  3. Step 3: Cross multiply
    613,708.48x = 920,707.50 × 192,984.34
  4. Step 4: Simplify right side
    613,708.48x = 177,682,129,220.55
  5. Step 5: Solve for x
    x = 177,682,129,220.55/613,708.48
  6. Step 6: Final answer
    x = 289,522.04

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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.