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Finding the Fourth Proportional to 257,627.76, 355,546.92 and 142,917.72

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Solution

The fourth proportional to 257,627.76, 355,546.92 and 142,917.72 is: 197,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,627.76 : 355,546.92 = 142,917.72 : x
  2. Step 2: Convert to fraction form
    257,627.76/355,546.92 = 142,917.72/x
  3. Step 3: Cross multiply
    257,627.76x = 355,546.92 × 142,917.72
  4. Step 4: Simplify right side
    257,627.76x = 50,813,955,159.42
  5. Step 5: Solve for x
    x = 50,813,955,159.42/257,627.76
  6. Step 6: Final answer
    x = 197,237.89

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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.