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Finding the Fourth Proportional to 286,106.31, 428,992.47 and 86,366.79

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Solution

The fourth proportional to 286,106.31, 428,992.47 and 86,366.79 is: 129,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,106.31 : 428,992.47 = 86,366.79 : x
  2. Step 2: Convert to fraction form
    286,106.31/428,992.47 = 86,366.79/x
  3. Step 3: Cross multiply
    286,106.31x = 428,992.47 × 86,366.79
  4. Step 4: Simplify right side
    286,106.31x = 37,050,702,568.07
  5. Step 5: Solve for x
    x = 37,050,702,568.07/286,106.31
  6. Step 6: Final answer
    x = 129,499.77

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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.