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Finding the Fourth Proportional to 550,313.36, 825,331.50 and 213,238.34

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Solution

The fourth proportional to 550,313.36, 825,331.50 and 213,238.34 is: 319,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,313.36 : 825,331.50 = 213,238.34 : x
  2. Step 2: Convert to fraction form
    550,313.36/825,331.50 = 213,238.34/x
  3. Step 3: Cross multiply
    550,313.36x = 825,331.50 × 213,238.34
  4. Step 4: Simplify right side
    550,313.36x = 175,992,319,009.71
  5. Step 5: Solve for x
    x = 175,992,319,009.71/550,313.36
  6. Step 6: Final answer
    x = 319,803.83

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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.