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Finding the Fourth Proportional to 286,497, 429,745.50 and 89,505

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Solution

The fourth proportional to 286,497, 429,745.50 and 89,505 is: 134,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,497 : 429,745.50 = 89,505 : x
  2. Step 2: Convert to fraction form
    286,497/429,745.50 = 89,505/x
  3. Step 3: Cross multiply
    286,497x = 429,745.50 × 89,505
  4. Step 4: Simplify right side
    286,497x = 38,464,370,977.50
  5. Step 5: Solve for x
    x = 38,464,370,977.50/286,497
  6. Step 6: Final answer
    x = 134,257.50

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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.