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Finding the Fourth Proportional to 223,558.40, 308,299.68 and 146,942.12

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Solution

The fourth proportional to 223,558.40, 308,299.68 and 146,942.12 is: 202,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,558.40 : 308,299.68 = 146,942.12 : x
  2. Step 2: Convert to fraction form
    223,558.40/308,299.68 = 146,942.12/x
  3. Step 3: Cross multiply
    223,558.40x = 308,299.68 × 146,942.12
  4. Step 4: Simplify right side
    223,558.40x = 45,302,208,574.52
  5. Step 5: Solve for x
    x = 45,302,208,574.52/223,558.40
  6. Step 6: Final answer
    x = 202,641.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.