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Finding the Fourth Proportional to 387,778.51, 582,212.72 and 198,374.74

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Solution

The fourth proportional to 387,778.51, 582,212.72 and 198,374.74 is: 297,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,778.51 : 582,212.72 = 198,374.74 : x
  2. Step 2: Convert to fraction form
    387,778.51/582,212.72 = 198,374.74/x
  3. Step 3: Cross multiply
    387,778.51x = 582,212.72 × 198,374.74
  4. Step 4: Simplify right side
    387,778.51x = 115,496,296,246.83
  5. Step 5: Solve for x
    x = 115,496,296,246.83/387,778.51
  6. Step 6: Final answer
    x = 297,840.89

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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.