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Finding the Fourth Proportional to 208,405.74, 312,608.61 and 138,421.74

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Solution

The fourth proportional to 208,405.74, 312,608.61 and 138,421.74 is: 207,632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,405.74 : 312,608.61 = 138,421.74 : x
  2. Step 2: Convert to fraction form
    208,405.74/312,608.61 = 138,421.74/x
  3. Step 3: Cross multiply
    208,405.74x = 312,608.61 × 138,421.74
  4. Step 4: Simplify right side
    208,405.74x = 43,271,827,735.18
  5. Step 5: Solve for x
    x = 43,271,827,735.18/208,405.74
  6. Step 6: Final answer
    x = 207,632.61

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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.