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Finding the Fourth Proportional to 613,478.45, 920,204.17 and 164,199.28

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Solution

The fourth proportional to 613,478.45, 920,204.17 and 164,199.28 is: 246,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,478.45 : 920,204.17 = 164,199.28 : x
  2. Step 2: Convert to fraction form
    613,478.45/920,204.17 = 164,199.28/x
  3. Step 3: Cross multiply
    613,478.45x = 920,204.17 × 164,199.28
  4. Step 4: Simplify right side
    613,478.45x = 151,096,859,055.11
  5. Step 5: Solve for x
    x = 151,096,859,055.11/613,478.45
  6. Step 6: Final answer
    x = 246,295.30

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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.