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Finding the Fourth Proportional to 613,617.12, 920,113.92 and 280,908

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Solution

The fourth proportional to 613,617.12, 920,113.92 and 280,908 is: 421,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,617.12 : 920,113.92 = 280,908 : x
  2. Step 2: Convert to fraction form
    613,617.12/920,113.92 = 280,908/x
  3. Step 3: Cross multiply
    613,617.12x = 920,113.92 × 280,908
  4. Step 4: Simplify right side
    613,617.12x = 258,467,361,039.36
  5. Step 5: Solve for x
    x = 258,467,361,039.36/613,617.12
  6. Step 6: Final answer
    x = 421,219.28

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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.