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Finding the Fourth Proportional to 613,079.31, 919,624.13 and 213,719.34

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Solution

The fourth proportional to 613,079.31, 919,624.13 and 213,719.34 is: 320,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,079.31 : 919,624.13 = 213,719.34 : x
  2. Step 2: Convert to fraction form
    613,079.31/919,624.13 = 213,719.34/x
  3. Step 3: Cross multiply
    613,079.31x = 919,624.13 × 213,719.34
  4. Step 4: Simplify right side
    613,079.31x = 196,541,461,043.08
  5. Step 5: Solve for x
    x = 196,541,461,043.08/613,079.31
  6. Step 6: Final answer
    x = 320,580.81

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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.