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Finding the Fourth Proportional to 647,343.62, 972,621.58 and 419,784.02

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Solution

The fourth proportional to 647,343.62, 972,621.58 and 419,784.02 is: 630,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,343.62 : 972,621.58 = 419,784.02 : x
  2. Step 2: Convert to fraction form
    647,343.62/972,621.58 = 419,784.02/x
  3. Step 3: Cross multiply
    647,343.62x = 972,621.58 × 419,784.02
  4. Step 4: Simplify right side
    647,343.62x = 408,290,996,791.15
  5. Step 5: Solve for x
    x = 408,290,996,791.15/647,343.62
  6. Step 6: Final answer
    x = 630,717.57

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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.