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Finding the Fourth Proportional to 431,739.77, 646,768.12 and 262,841.18

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Solution

The fourth proportional to 431,739.77, 646,768.12 and 262,841.18 is: 393,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,739.77 : 646,768.12 = 262,841.18 : x
  2. Step 2: Convert to fraction form
    431,739.77/646,768.12 = 262,841.18/x
  3. Step 3: Cross multiply
    431,739.77x = 646,768.12 × 262,841.18
  4. Step 4: Simplify right side
    431,739.77x = 169,997,292,449.07
  5. Step 5: Solve for x
    x = 169,997,292,449.07/431,739.77
  6. Step 6: Final answer
    x = 393,749.44

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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.