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Finding the Fourth Proportional to 257,906.87, 355,937.06 and 144,730.07

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Solution

The fourth proportional to 257,906.87, 355,937.06 and 144,730.07 is: 199,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,906.87 : 355,937.06 = 144,730.07 : x
  2. Step 2: Convert to fraction form
    257,906.87/355,937.06 = 144,730.07/x
  3. Step 3: Cross multiply
    257,906.87x = 355,937.06 × 144,730.07
  4. Step 4: Simplify right side
    257,906.87x = 51,514,795,609.39
  5. Step 5: Solve for x
    x = 51,514,795,609.39/257,906.87
  6. Step 6: Final answer
    x = 199,741.85

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1.5x scale

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.