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Finding the Fourth Proportional to 438,765, 658,147.50 and 106,341

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Solution

The fourth proportional to 438,765, 658,147.50 and 106,341 is: 159,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,765 : 658,147.50 = 106,341 : x
  2. Step 2: Convert to fraction form
    438,765/658,147.50 = 106,341/x
  3. Step 3: Cross multiply
    438,765x = 658,147.50 × 106,341
  4. Step 4: Simplify right side
    438,765x = 69,988,063,297.50
  5. Step 5: Solve for x
    x = 69,988,063,297.50/438,765
  6. Step 6: Final answer
    x = 159,511.50

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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.