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Finding the Fourth Proportional to 286,362, 429,460.38 and 86,635.44

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Solution

The fourth proportional to 286,362, 429,460.38 and 86,635.44 is: 129,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,362 : 429,460.38 = 86,635.44 : x
  2. Step 2: Convert to fraction form
    286,362/429,460.38 = 86,635.44/x
  3. Step 3: Cross multiply
    286,362x = 429,460.38 × 86,635.44
  4. Step 4: Simplify right side
    286,362x = 37,206,488,983.87
  5. Step 5: Solve for x
    x = 37,206,488,983.87/286,362
  6. Step 6: Final answer
    x = 129,928.16

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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.