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Finding the Fourth Proportional to 255,889.22, 383,319.77 and 127,418.47

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Solution

The fourth proportional to 255,889.22, 383,319.77 and 127,418.47 is: 190,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,889.22 : 383,319.77 = 127,418.47 : x
  2. Step 2: Convert to fraction form
    255,889.22/383,319.77 = 127,418.47/x
  3. Step 3: Cross multiply
    255,889.22x = 383,319.77 × 127,418.47
  4. Step 4: Simplify right side
    255,889.22x = 48,842,017,018.76
  5. Step 5: Solve for x
    x = 48,842,017,018.76/255,889.22
  6. Step 6: Final answer
    x = 190,871.73

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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.