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Finding the Fourth Proportional to 257,657.78, 355,568.63 and 142,938.70

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Solution

The fourth proportional to 257,657.78, 355,568.63 and 142,938.70 is: 197,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,657.78 : 355,568.63 = 142,938.70 : x
  2. Step 2: Convert to fraction form
    257,657.78/355,568.63 = 142,938.70/x
  3. Step 3: Cross multiply
    257,657.78x = 355,568.63 × 142,938.70
  4. Step 4: Simplify right side
    257,657.78x = 50,824,517,732.98
  5. Step 5: Solve for x
    x = 50,824,517,732.98/257,657.78
  6. Step 6: Final answer
    x = 197,255.90

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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.