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Finding the Fourth Proportional to 257,189.59, 354,909.28 and 142,460.49

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Solution

The fourth proportional to 257,189.59, 354,909.28 and 142,460.49 is: 196,588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,189.59 : 354,909.28 = 142,460.49 : x
  2. Step 2: Convert to fraction form
    257,189.59/354,909.28 = 142,460.49/x
  3. Step 3: Cross multiply
    257,189.59x = 354,909.28 × 142,460.49
  4. Step 4: Simplify right side
    257,189.59x = 50,560,549,934.35
  5. Step 5: Solve for x
    x = 50,560,549,934.35/257,189.59
  6. Step 6: Final answer
    x = 196,588.63

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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.