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Finding the Fourth Proportional to 557,638.42, 836,474.02 and 136,914.26

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Solution

The fourth proportional to 557,638.42, 836,474.02 and 136,914.26 is: 205,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,638.42 : 836,474.02 = 136,914.26 : x
  2. Step 2: Convert to fraction form
    557,638.42/836,474.02 = 136,914.26/x
  3. Step 3: Cross multiply
    557,638.42x = 836,474.02 × 136,914.26
  4. Step 4: Simplify right side
    557,638.42x = 114,525,221,457.53
  5. Step 5: Solve for x
    x = 114,525,221,457.53/557,638.42
  6. Step 6: Final answer
    x = 205,375.41

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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.