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Finding the Fourth Proportional to 340,645.89, 511,028.88 and 140,854.33

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Solution

The fourth proportional to 340,645.89, 511,028.88 and 140,854.33 is: 211,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,645.89 : 511,028.88 = 140,854.33 : x
  2. Step 2: Convert to fraction form
    340,645.89/511,028.88 = 140,854.33/x
  3. Step 3: Cross multiply
    340,645.89x = 511,028.88 × 140,854.33
  4. Step 4: Simplify right side
    340,645.89x = 71,980,630,503.05
  5. Step 5: Solve for x
    x = 71,980,630,503.05/340,645.89
  6. Step 6: Final answer
    x = 211,306.32

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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.