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Finding the Fourth Proportional to 286,266.65, 429,467.39 and 86,588.69

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Solution

The fourth proportional to 286,266.65, 429,467.39 and 86,588.69 is: 129,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,266.65 : 429,467.39 = 86,588.69 : x
  2. Step 2: Convert to fraction form
    286,266.65/429,467.39 = 86,588.69/x
  3. Step 3: Cross multiply
    286,266.65x = 429,467.39 × 86,588.69
  4. Step 4: Simplify right side
    286,266.65x = 37,187,016,117.54
  5. Step 5: Solve for x
    x = 37,187,016,117.54/286,266.65
  6. Step 6: Final answer
    x = 129,903.42

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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.