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Finding the Fourth Proportional to 329,956.40, 455,284.40 and 192,164.47

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Solution

The fourth proportional to 329,956.40, 455,284.40 and 192,164.47 is: 265,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,956.40 : 455,284.40 = 192,164.47 : x
  2. Step 2: Convert to fraction form
    329,956.40/455,284.40 = 192,164.47/x
  3. Step 3: Cross multiply
    329,956.40x = 455,284.40 × 192,164.47
  4. Step 4: Simplify right side
    329,956.40x = 87,489,483,326.23
  5. Step 5: Solve for x
    x = 87,489,483,326.23/329,956.40
  6. Step 6: Final answer
    x = 265,154.68

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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.