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Finding the Fourth Proportional to 419,263.75, 628,994.04 and 138,781

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Solution

The fourth proportional to 419,263.75, 628,994.04 and 138,781 is: 208,204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,263.75 : 628,994.04 = 138,781 : x
  2. Step 2: Convert to fraction form
    419,263.75/628,994.04 = 138,781/x
  3. Step 3: Cross multiply
    419,263.75x = 628,994.04 × 138,781
  4. Step 4: Simplify right side
    419,263.75x = 87,292,421,865.24
  5. Step 5: Solve for x
    x = 87,292,421,865.24/419,263.75
  6. Step 6: Final answer
    x = 208,204.08

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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.