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Finding the Fourth Proportional to 431,442.48, 647,222.04 and 405,198.48

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Solution

The fourth proportional to 431,442.48, 647,222.04 and 405,198.48 is: 607,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,442.48 : 647,222.04 = 405,198.48 : x
  2. Step 2: Convert to fraction form
    431,442.48/647,222.04 = 405,198.48/x
  3. Step 3: Cross multiply
    431,442.48x = 647,222.04 × 405,198.48
  4. Step 4: Simplify right side
    431,442.48x = 262,253,386,830.50
  5. Step 5: Solve for x
    x = 262,253,386,830.50/431,442.48
  6. Step 6: Final answer
    x = 607,852.49

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1.5x scale

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.