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Finding the Fourth Proportional to 257,189.04, 354,863.52 and 155,231.28

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Solution

The fourth proportional to 257,189.04, 354,863.52 and 155,231.28 is: 214,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,189.04 : 354,863.52 = 155,231.28 : x
  2. Step 2: Convert to fraction form
    257,189.04/354,863.52 = 155,231.28/x
  3. Step 3: Cross multiply
    257,189.04x = 354,863.52 × 155,231.28
  4. Step 4: Simplify right side
    257,189.04x = 55,085,918,434.91
  5. Step 5: Solve for x
    x = 55,085,918,434.91/257,189.04
  6. Step 6: Final answer
    x = 214,184.55

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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.