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Finding the Fourth Proportional to 493,718.38, 740,605.23 and 138,704.71

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Solution

The fourth proportional to 493,718.38, 740,605.23 and 138,704.71 is: 208,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,718.38 : 740,605.23 = 138,704.71 : x
  2. Step 2: Convert to fraction form
    493,718.38/740,605.23 = 138,704.71/x
  3. Step 3: Cross multiply
    493,718.38x = 740,605.23 × 138,704.71
  4. Step 4: Simplify right side
    493,718.38x = 102,725,433,651.63
  5. Step 5: Solve for x
    x = 102,725,433,651.63/493,718.38
  6. Step 6: Final answer
    x = 208,064.84

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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.