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Finding the Fourth Proportional to 348,679, 523,207.50 and 269,947

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Solution

The fourth proportional to 348,679, 523,207.50 and 269,947 is: 405,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,679 : 523,207.50 = 269,947 : x
  2. Step 2: Convert to fraction form
    348,679/523,207.50 = 269,947/x
  3. Step 3: Cross multiply
    348,679x = 523,207.50 × 269,947
  4. Step 4: Simplify right side
    348,679x = 141,238,295,002.50
  5. Step 5: Solve for x
    x = 141,238,295,002.50/348,679
  6. Step 6: Final answer
    x = 405,066.82

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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.