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Finding the Fourth Proportional to 286,639.00, 429,968.21 and 76,277.14

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Solution

The fourth proportional to 286,639.00, 429,968.21 and 76,277.14 is: 114,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,639.00 : 429,968.21 = 76,277.14 : x
  2. Step 2: Convert to fraction form
    286,639.00/429,968.21 = 76,277.14/x
  3. Step 3: Cross multiply
    286,639.00x = 429,968.21 × 76,277.14
  4. Step 4: Simplify right side
    286,639.00x = 32,796,743,893.41
  5. Step 5: Solve for x
    x = 32,796,743,893.41/286,639.00
  6. Step 6: Final answer
    x = 114,418.29

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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.