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Finding the Fourth Proportional to 396,005.60, 593,133.60 and 306,970.40

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Solution

The fourth proportional to 396,005.60, 593,133.60 and 306,970.40 is: 459,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,005.60 : 593,133.60 = 306,970.40 : x
  2. Step 2: Convert to fraction form
    396,005.60/593,133.60 = 306,970.40/x
  3. Step 3: Cross multiply
    396,005.60x = 593,133.60 × 306,970.40
  4. Step 4: Simplify right side
    396,005.60x = 182,074,458,445.44
  5. Step 5: Solve for x
    x = 182,074,458,445.44/396,005.60
  6. Step 6: Final answer
    x = 459,777.48

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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.