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Finding the Fourth Proportional to 257,153.64, 354,868.06 and 143,980.44

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Solution

The fourth proportional to 257,153.64, 354,868.06 and 143,980.44 is: 198,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,153.64 : 354,868.06 = 143,980.44 : x
  2. Step 2: Convert to fraction form
    257,153.64/354,868.06 = 143,980.44/x
  3. Step 3: Cross multiply
    257,153.64x = 354,868.06 × 143,980.44
  4. Step 4: Simplify right side
    257,153.64x = 51,094,059,420.75
  5. Step 5: Solve for x
    x = 51,094,059,420.75/257,153.64
  6. Step 6: Final answer
    x = 198,690.79

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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.