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Finding the Fourth Proportional to 257,220.72, 354,963.90 and 142,499.58

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Solution

The fourth proportional to 257,220.72, 354,963.90 and 142,499.58 is: 196,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,220.72 : 354,963.90 = 142,499.58 : x
  2. Step 2: Convert to fraction form
    257,220.72/354,963.90 = 142,499.58/x
  3. Step 3: Cross multiply
    257,220.72x = 354,963.90 × 142,499.58
  4. Step 4: Simplify right side
    257,220.72x = 50,582,206,665.16
  5. Step 5: Solve for x
    x = 50,582,206,665.16/257,220.72
  6. Step 6: Final answer
    x = 196,649.04

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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.