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Finding the Fourth Proportional to 287,291, 430,936.50 and 90,299

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Solution

The fourth proportional to 287,291, 430,936.50 and 90,299 is: 135,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,291 : 430,936.50 = 90,299 : x
  2. Step 2: Convert to fraction form
    287,291/430,936.50 = 90,299/x
  3. Step 3: Cross multiply
    287,291x = 430,936.50 × 90,299
  4. Step 4: Simplify right side
    287,291x = 38,913,135,013.50
  5. Step 5: Solve for x
    x = 38,913,135,013.50/287,291
  6. Step 6: Final answer
    x = 135,448.50

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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.