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Finding the Fourth Proportional to 257,155.56, 354,872.34 and 143,980.20

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Solution

The fourth proportional to 257,155.56, 354,872.34 and 143,980.20 is: 198,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,155.56 : 354,872.34 = 143,980.20 : x
  2. Step 2: Convert to fraction form
    257,155.56/354,872.34 = 143,980.20/x
  3. Step 3: Cross multiply
    257,155.56x = 354,872.34 × 143,980.20
  4. Step 4: Simplify right side
    257,155.56x = 51,094,590,487.67
  5. Step 5: Solve for x
    x = 51,094,590,487.67/257,155.56
  6. Step 6: Final answer
    x = 198,691.37

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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.