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Finding the Fourth Proportional to 257,471.77, 355,311.48 and 144,294.52

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Solution

The fourth proportional to 257,471.77, 355,311.48 and 144,294.52 is: 199,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,471.77 : 355,311.48 = 144,294.52 : x
  2. Step 2: Convert to fraction form
    257,471.77/355,311.48 = 144,294.52/x
  3. Step 3: Cross multiply
    257,471.77x = 355,311.48 × 144,294.52
  4. Step 4: Simplify right side
    257,471.77x = 51,269,499,457.09
  5. Step 5: Solve for x
    x = 51,269,499,457.09/257,471.77
  6. Step 6: Final answer
    x = 199,126.68

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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.