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Finding the Fourth Proportional to 257,190.80, 354,936.03 and 155,214.63

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Solution

The fourth proportional to 257,190.80, 354,936.03 and 155,214.63 is: 214,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,190.80 : 354,936.03 = 155,214.63 : x
  2. Step 2: Convert to fraction form
    257,190.80/354,936.03 = 155,214.63/x
  3. Step 3: Cross multiply
    257,190.80x = 354,936.03 × 155,214.63
  4. Step 4: Simplify right side
    257,190.80x = 55,091,263,988.06
  5. Step 5: Solve for x
    x = 55,091,263,988.06/257,190.80
  6. Step 6: Final answer
    x = 214,203.87

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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.