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Finding the Fourth Proportional to 431,267.42, 646,185.93 and 262,276.58

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Solution

The fourth proportional to 431,267.42, 646,185.93 and 262,276.58 is: 392,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,267.42 : 646,185.93 = 262,276.58 : x
  2. Step 2: Convert to fraction form
    431,267.42/646,185.93 = 262,276.58/x
  3. Step 3: Cross multiply
    431,267.42x = 646,185.93 × 262,276.58
  4. Step 4: Simplify right side
    431,267.42x = 169,479,435,764.52
  5. Step 5: Solve for x
    x = 169,479,435,764.52/431,267.42
  6. Step 6: Final answer
    x = 392,979.92

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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.