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Finding the Fourth Proportional to 286,449.79, 429,696.56 and 86,786.72

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Solution

The fourth proportional to 286,449.79, 429,696.56 and 86,786.72 is: 130,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,449.79 : 429,696.56 = 86,786.72 : x
  2. Step 2: Convert to fraction form
    286,449.79/429,696.56 = 86,786.72/x
  3. Step 3: Cross multiply
    286,449.79x = 429,696.56 × 86,786.72
  4. Step 4: Simplify right side
    286,449.79x = 37,291,955,037.68
  5. Step 5: Solve for x
    x = 37,291,955,037.68/286,449.79
  6. Step 6: Final answer
    x = 130,186.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.