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Finding the Fourth Proportional to 624,480, 936,720 and 230,496

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Solution

The fourth proportional to 624,480, 936,720 and 230,496 is: 345,744

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,480 : 936,720 = 230,496 : x
  2. Step 2: Convert to fraction form
    624,480/936,720 = 230,496/x
  3. Step 3: Cross multiply
    624,480x = 936,720 × 230,496
  4. Step 4: Simplify right side
    624,480x = 215,910,213,120
  5. Step 5: Solve for x
    x = 215,910,213,120/624,480
  6. Step 6: Final answer
    x = 345,744

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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.