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Finding the Fourth Proportional to 262,854.40, 394,281.60 and 122,627.20

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Solution

The fourth proportional to 262,854.40, 394,281.60 and 122,627.20 is: 183,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,854.40 : 394,281.60 = 122,627.20 : x
  2. Step 2: Convert to fraction form
    262,854.40/394,281.60 = 122,627.20/x
  3. Step 3: Cross multiply
    262,854.40x = 394,281.60 × 122,627.20
  4. Step 4: Simplify right side
    262,854.40x = 48,349,648,619.52
  5. Step 5: Solve for x
    x = 48,349,648,619.52/262,854.40
  6. Step 6: Final answer
    x = 183,940.80

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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.