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Finding the Fourth Proportional to 387,188.37, 580,722.62 and 197,788.77

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Solution

The fourth proportional to 387,188.37, 580,722.62 and 197,788.77 is: 296,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,188.37 : 580,722.62 = 197,788.77 : x
  2. Step 2: Convert to fraction form
    387,188.37/580,722.62 = 197,788.77/x
  3. Step 3: Cross multiply
    387,188.37x = 580,722.62 × 197,788.77
  4. Step 4: Simplify right side
    387,188.37x = 114,860,411,732.03
  5. Step 5: Solve for x
    x = 114,860,411,732.03/387,188.37
  6. Step 6: Final answer
    x = 296,652.54

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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.