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Finding the Fourth Proportional to 257,018.50, 354,672.51 and 140,728.81

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Solution

The fourth proportional to 257,018.50, 354,672.51 and 140,728.81 is: 194,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,018.50 : 354,672.51 = 140,728.81 : x
  2. Step 2: Convert to fraction form
    257,018.50/354,672.51 = 140,728.81/x
  3. Step 3: Cross multiply
    257,018.50x = 354,672.51 × 140,728.81
  4. Step 4: Simplify right side
    257,018.50x = 49,912,640,272.01
  5. Step 5: Solve for x
    x = 49,912,640,272.01/257,018.50
  6. Step 6: Final answer
    x = 194,198.63

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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.