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Finding the Fourth Proportional to 438,805.50, 658,208.25 and 106,381.50

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Solution

The fourth proportional to 438,805.50, 658,208.25 and 106,381.50 is: 159,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,805.50 : 658,208.25 = 106,381.50 : x
  2. Step 2: Convert to fraction form
    438,805.50/658,208.25 = 106,381.50/x
  3. Step 3: Cross multiply
    438,805.50x = 658,208.25 × 106,381.50
  4. Step 4: Simplify right side
    438,805.50x = 70,021,180,947.38
  5. Step 5: Solve for x
    x = 70,021,180,947.38/438,805.50
  6. Step 6: Final answer
    x = 159,572.25

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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.