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Finding the Fourth Proportional to 646,950.96, 892,780.47 and 360,464.85

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Solution

The fourth proportional to 646,950.96, 892,780.47 and 360,464.85 is: 497,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,950.96 : 892,780.47 = 360,464.85 : x
  2. Step 2: Convert to fraction form
    646,950.96/892,780.47 = 360,464.85/x
  3. Step 3: Cross multiply
    646,950.96x = 892,780.47 × 360,464.85
  4. Step 4: Simplify right side
    646,950.96x = 321,815,978,201.48
  5. Step 5: Solve for x
    x = 321,815,978,201.48/646,950.96
  6. Step 6: Final answer
    x = 497,434.89

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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.