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Finding the Fourth Proportional to 403,278.40, 604,917.60 and 263,195.20

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Solution

The fourth proportional to 403,278.40, 604,917.60 and 263,195.20 is: 394,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,278.40 : 604,917.60 = 263,195.20 : x
  2. Step 2: Convert to fraction form
    403,278.40/604,917.60 = 263,195.20/x
  3. Step 3: Cross multiply
    403,278.40x = 604,917.60 × 263,195.20
  4. Step 4: Simplify right side
    403,278.40x = 159,211,408,715.52
  5. Step 5: Solve for x
    x = 159,211,408,715.52/403,278.40
  6. Step 6: Final answer
    x = 394,792.80

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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.