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Finding the Fourth Proportional to 298,420.80, 447,631.20 and 265,761.60

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Solution

The fourth proportional to 298,420.80, 447,631.20 and 265,761.60 is: 398,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,420.80 : 447,631.20 = 265,761.60 : x
  2. Step 2: Convert to fraction form
    298,420.80/447,631.20 = 265,761.60/x
  3. Step 3: Cross multiply
    298,420.80x = 447,631.20 × 265,761.60
  4. Step 4: Simplify right side
    298,420.80x = 118,963,183,921.92
  5. Step 5: Solve for x
    x = 118,963,183,921.92/298,420.80
  6. Step 6: Final answer
    x = 398,642.40

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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.