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Finding the Fourth Proportional to 262,663, 393,994.50 and 65,671

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Solution

The fourth proportional to 262,663, 393,994.50 and 65,671 is: 98,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,663 : 393,994.50 = 65,671 : x
  2. Step 2: Convert to fraction form
    262,663/393,994.50 = 65,671/x
  3. Step 3: Cross multiply
    262,663x = 393,994.50 × 65,671
  4. Step 4: Simplify right side
    262,663x = 25,874,012,809.50
  5. Step 5: Solve for x
    x = 25,874,012,809.50/262,663
  6. Step 6: Final answer
    x = 98,506.50

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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.