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Finding the Fourth Proportional to 255,874.64, 383,622.38 and 122,628

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Solution

The fourth proportional to 255,874.64, 383,622.38 and 122,628 is: 183,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,874.64 : 383,622.38 = 122,628 : x
  2. Step 2: Convert to fraction form
    255,874.64/383,622.38 = 122,628/x
  3. Step 3: Cross multiply
    255,874.64x = 383,622.38 × 122,628
  4. Step 4: Simplify right side
    255,874.64x = 47,042,845,214.64
  5. Step 5: Solve for x
    x = 47,042,845,214.64/255,874.64
  6. Step 6: Final answer
    x = 183,851.14

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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.