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Finding the Fourth Proportional to 493,723.56, 740,613 and 138,709.89

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Solution

The fourth proportional to 493,723.56, 740,613 and 138,709.89 is: 208,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,723.56 : 740,613 = 138,709.89 : x
  2. Step 2: Convert to fraction form
    493,723.56/740,613 = 138,709.89/x
  3. Step 3: Cross multiply
    493,723.56x = 740,613 × 138,709.89
  4. Step 4: Simplify right side
    493,723.56x = 102,730,347,762.57
  5. Step 5: Solve for x
    x = 102,730,347,762.57/493,723.56
  6. Step 6: Final answer
    x = 208,072.61

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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.