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Finding the Fourth Proportional to 407,842.39, 611,825.78 and 208,053.79

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Solution

The fourth proportional to 407,842.39, 611,825.78 and 208,053.79 is: 312,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,842.39 : 611,825.78 = 208,053.79 : x
  2. Step 2: Convert to fraction form
    407,842.39/611,825.78 = 208,053.79/x
  3. Step 3: Cross multiply
    407,842.39x = 611,825.78 × 208,053.79
  4. Step 4: Simplify right side
    407,842.39x = 127,292,672,474.89
  5. Step 5: Solve for x
    x = 127,292,672,474.89/407,842.39
  6. Step 6: Final answer
    x = 312,112.41

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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.