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Finding the Fourth Proportional to 257,260.86, 355,030.92 and 149,813.58

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Solution

The fourth proportional to 257,260.86, 355,030.92 and 149,813.58 is: 206,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,260.86 : 355,030.92 = 149,813.58 : x
  2. Step 2: Convert to fraction form
    257,260.86/355,030.92 = 149,813.58/x
  3. Step 3: Cross multiply
    257,260.86x = 355,030.92 × 149,813.58
  4. Step 4: Simplify right side
    257,260.86x = 53,188,453,135.89
  5. Step 5: Solve for x
    x = 53,188,453,135.89/257,260.86
  6. Step 6: Final answer
    x = 206,749.11

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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.