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Finding the Fourth Proportional to 438,805, 658,207.50 and 106,381

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Solution

The fourth proportional to 438,805, 658,207.50 and 106,381 is: 159,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,805 : 658,207.50 = 106,381 : x
  2. Step 2: Convert to fraction form
    438,805/658,207.50 = 106,381/x
  3. Step 3: Cross multiply
    438,805x = 658,207.50 × 106,381
  4. Step 4: Simplify right side
    438,805x = 70,020,772,057.50
  5. Step 5: Solve for x
    x = 70,020,772,057.50/438,805
  6. Step 6: Final answer
    x = 159,571.50

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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.