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Finding the Fourth Proportional to 257,309.45, 355,105.74 and 155,359.71

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Solution

The fourth proportional to 257,309.45, 355,105.74 and 155,359.71 is: 214,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,309.45 : 355,105.74 = 155,359.71 : x
  2. Step 2: Convert to fraction form
    257,309.45/355,105.74 = 155,359.71/x
  3. Step 3: Cross multiply
    257,309.45x = 355,105.74 × 155,359.71
  4. Step 4: Simplify right side
    257,309.45x = 55,169,124,785.74
  5. Step 5: Solve for x
    x = 55,169,124,785.74/257,309.45
  6. Step 6: Final answer
    x = 214,407.69

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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.