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Finding the Fourth Proportional to 437,650.80, 656,735.40 and 319,023.60

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Solution

The fourth proportional to 437,650.80, 656,735.40 and 319,023.60 is: 478,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,650.80 : 656,735.40 = 319,023.60 : x
  2. Step 2: Convert to fraction form
    437,650.80/656,735.40 = 319,023.60/x
  3. Step 3: Cross multiply
    437,650.80x = 656,735.40 × 319,023.60
  4. Step 4: Simplify right side
    437,650.80x = 209,514,091,555.44
  5. Step 5: Solve for x
    x = 209,514,091,555.44/437,650.80
  6. Step 6: Final answer
    x = 478,724.34

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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.