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Finding the Fourth Proportional to 409,273.36, 613,905.70 and 159,953.20

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Solution

The fourth proportional to 409,273.36, 613,905.70 and 159,953.20 is: 239,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,273.36 : 613,905.70 = 159,953.20 : x
  2. Step 2: Convert to fraction form
    409,273.36/613,905.70 = 159,953.20/x
  3. Step 3: Cross multiply
    409,273.36x = 613,905.70 × 159,953.20
  4. Step 4: Simplify right side
    409,273.36x = 98,196,181,213.24
  5. Step 5: Solve for x
    x = 98,196,181,213.24/409,273.36
  6. Step 6: Final answer
    x = 239,928.10

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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.