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Finding the Fourth Proportional to 646,758.52, 892,468.86 and 360,272.46

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Solution

The fourth proportional to 646,758.52, 892,468.86 and 360,272.46 is: 497,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,758.52 : 892,468.86 = 360,272.46 : x
  2. Step 2: Convert to fraction form
    646,758.52/892,468.86 = 360,272.46/x
  3. Step 3: Cross multiply
    646,758.52x = 892,468.86 × 360,272.46
  4. Step 4: Simplify right side
    646,758.52x = 321,531,951,665.60
  5. Step 5: Solve for x
    x = 321,531,951,665.60/646,758.52
  6. Step 6: Final answer
    x = 497,143.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.