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Finding the Fourth Proportional to 257,277.92, 355,047.30 and 149,845.16

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Solution

The fourth proportional to 257,277.92, 355,047.30 and 149,845.16 is: 206,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,277.92 : 355,047.30 = 149,845.16 : x
  2. Step 2: Convert to fraction form
    257,277.92/355,047.30 = 149,845.16/x
  3. Step 3: Cross multiply
    257,277.92x = 355,047.30 × 149,845.16
  4. Step 4: Simplify right side
    257,277.92x = 53,202,119,476.07
  5. Step 5: Solve for x
    x = 53,202,119,476.07/257,277.92
  6. Step 6: Final answer
    x = 206,788.52

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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.