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Finding the Fourth Proportional to 647,340.12, 972,616.32 and 419,780.52

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Solution

The fourth proportional to 647,340.12, 972,616.32 and 419,780.52 is: 630,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,340.12 : 972,616.32 = 419,780.52 : x
  2. Step 2: Convert to fraction form
    647,340.12/972,616.32 = 419,780.52/x
  3. Step 3: Cross multiply
    647,340.12x = 972,616.32 × 419,780.52
  4. Step 4: Simplify right side
    647,340.12x = 408,285,384,570.09
  5. Step 5: Solve for x
    x = 408,285,384,570.09/647,340.12
  6. Step 6: Final answer
    x = 630,712.31

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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.