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Finding the Fourth Proportional to 550,381.10, 759,532.28 and 305,370.47

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Solution

The fourth proportional to 550,381.10, 759,532.28 and 305,370.47 is: 421,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,381.10 : 759,532.28 = 305,370.47 : x
  2. Step 2: Convert to fraction form
    550,381.10/759,532.28 = 305,370.47/x
  3. Step 3: Cross multiply
    550,381.10x = 759,532.28 × 305,370.47
  4. Step 4: Simplify right side
    550,381.10x = 231,938,723,999.26
  5. Step 5: Solve for x
    x = 231,938,723,999.26/550,381.10
  6. Step 6: Final answer
    x = 421,414.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.