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Finding the Fourth Proportional to 298,975.02, 447,955.02 and 180,397.20

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Solution

The fourth proportional to 298,975.02, 447,955.02 and 180,397.20 is: 270,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,975.02 : 447,955.02 = 180,397.20 : x
  2. Step 2: Convert to fraction form
    298,975.02/447,955.02 = 180,397.20/x
  3. Step 3: Cross multiply
    298,975.02x = 447,955.02 × 180,397.20
  4. Step 4: Simplify right side
    298,975.02x = 80,809,831,333.94
  5. Step 5: Solve for x
    x = 80,809,831,333.94/298,975.02
  6. Step 6: Final answer
    x = 270,289.58

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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.