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Finding the Fourth Proportional to 257,309.44, 355,082.88 and 144,131.84

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Solution

The fourth proportional to 257,309.44, 355,082.88 and 144,131.84 is: 198,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,309.44 : 355,082.88 = 144,131.84 : x
  2. Step 2: Convert to fraction form
    257,309.44/355,082.88 = 144,131.84/x
  3. Step 3: Cross multiply
    257,309.44x = 355,082.88 × 144,131.84
  4. Step 4: Simplify right side
    257,309.44x = 51,178,748,846.90
  5. Step 5: Solve for x
    x = 51,178,748,846.90/257,309.44
  6. Step 6: Final answer
    x = 198,899.62

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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.