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Finding the Fourth Proportional to 431,344.32, 646,032.33 and 380,890.50

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Solution

The fourth proportional to 431,344.32, 646,032.33 and 380,890.50 is: 570,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,344.32 : 646,032.33 = 380,890.50 : x
  2. Step 2: Convert to fraction form
    431,344.32/646,032.33 = 380,890.50/x
  3. Step 3: Cross multiply
    431,344.32x = 646,032.33 × 380,890.50
  4. Step 4: Simplify right side
    431,344.32x = 246,067,577,189.87
  5. Step 5: Solve for x
    x = 246,067,577,189.87/431,344.32
  6. Step 6: Final answer
    x = 570,466.71

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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.