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Finding the Fourth Proportional to 387,416.58, 580,042.26 and 209,285.46

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Solution

The fourth proportional to 387,416.58, 580,042.26 and 209,285.46 is: 313,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,416.58 : 580,042.26 = 209,285.46 : x
  2. Step 2: Convert to fraction form
    387,416.58/580,042.26 = 209,285.46/x
  3. Step 3: Cross multiply
    387,416.58x = 580,042.26 × 209,285.46
  4. Step 4: Simplify right side
    387,416.58x = 121,394,411,203.54
  5. Step 5: Solve for x
    x = 121,394,411,203.54/387,416.58
  6. Step 6: Final answer
    x = 313,343.36

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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.