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Finding the Fourth Proportional to 229,912, 344,534.16 and 163,485.76

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Solution

The fourth proportional to 229,912, 344,534.16 and 163,485.76 is: 244,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,912 : 344,534.16 = 163,485.76 : x
  2. Step 2: Convert to fraction form
    229,912/344,534.16 = 163,485.76/x
  3. Step 3: Cross multiply
    229,912x = 344,534.16 × 163,485.76
  4. Step 4: Simplify right side
    229,912x = 56,326,428,993.56
  5. Step 5: Solve for x
    x = 56,326,428,993.56/229,912
  6. Step 6: Final answer
    x = 244,991.25

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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.