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Finding the Fourth Proportional to 421,241.60, 630,940.80 and 254,739.20

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Solution

The fourth proportional to 421,241.60, 630,940.80 and 254,739.20 is: 381,551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,241.60 : 630,940.80 = 254,739.20 : x
  2. Step 2: Convert to fraction form
    421,241.60/630,940.80 = 254,739.20/x
  3. Step 3: Cross multiply
    421,241.60x = 630,940.80 × 254,739.20
  4. Step 4: Simplify right side
    421,241.60x = 160,725,354,639.36
  5. Step 5: Solve for x
    x = 160,725,354,639.36/421,241.60
  6. Step 6: Final answer
    x = 381,551.48

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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.