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Finding the Fourth Proportional to 431,745.39, 646,455.74 and 281,613.51

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Solution

The fourth proportional to 431,745.39, 646,455.74 and 281,613.51 is: 421,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,745.39 : 646,455.74 = 281,613.51 : x
  2. Step 2: Convert to fraction form
    431,745.39/646,455.74 = 281,613.51/x
  3. Step 3: Cross multiply
    431,745.39x = 646,455.74 × 281,613.51
  4. Step 4: Simplify right side
    431,745.39x = 182,050,668,592.98
  5. Step 5: Solve for x
    x = 182,050,668,592.98/431,745.39
  6. Step 6: Final answer
    x = 421,662.10

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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.