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Finding the Fourth Proportional to 613,707.48, 920,706 and 192,983.34

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Solution

The fourth proportional to 613,707.48, 920,706 and 192,983.34 is: 289,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,707.48 : 920,706 = 192,983.34 : x
  2. Step 2: Convert to fraction form
    613,707.48/920,706 = 192,983.34/x
  3. Step 3: Cross multiply
    613,707.48x = 920,706 × 192,983.34
  4. Step 4: Simplify right side
    613,707.48x = 177,680,919,038.04
  5. Step 5: Solve for x
    x = 177,680,919,038.04/613,707.48
  6. Step 6: Final answer
    x = 289,520.54

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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.