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Finding the Fourth Proportional to 493,954.94, 740,846.55 and 138,884.69

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Solution

The fourth proportional to 493,954.94, 740,846.55 and 138,884.69 is: 208,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,954.94 : 740,846.55 = 138,884.69 : x
  2. Step 2: Convert to fraction form
    493,954.94/740,846.55 = 138,884.69/x
  3. Step 3: Cross multiply
    493,954.94x = 740,846.55 × 138,884.69
  4. Step 4: Simplify right side
    493,954.94x = 102,892,243,434.32
  5. Step 5: Solve for x
    x = 102,892,243,434.32/493,954.94
  6. Step 6: Final answer
    x = 208,302.89

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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.