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Finding the Fourth Proportional to 340,354, 510,703.26 and 140,817.58

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Solution

The fourth proportional to 340,354, 510,703.26 and 140,817.58 is: 211,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,354 : 510,703.26 = 140,817.58 : x
  2. Step 2: Convert to fraction form
    340,354/510,703.26 = 140,817.58/x
  3. Step 3: Cross multiply
    340,354x = 510,703.26 × 140,817.58
  4. Step 4: Simplify right side
    340,354x = 71,915,997,171.31
  5. Step 5: Solve for x
    x = 71,915,997,171.31/340,354
  6. Step 6: Final answer
    x = 211,297.64

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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.