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Finding the Fourth Proportional to 298,959.69, 412,574.31 and 178,084.47

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Solution

The fourth proportional to 298,959.69, 412,574.31 and 178,084.47 is: 245,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,959.69 : 412,574.31 = 178,084.47 : x
  2. Step 2: Convert to fraction form
    298,959.69/412,574.31 = 178,084.47/x
  3. Step 3: Cross multiply
    298,959.69x = 412,574.31 × 178,084.47
  4. Step 4: Simplify right side
    298,959.69x = 73,473,077,331.97
  5. Step 5: Solve for x
    x = 73,473,077,331.97/298,959.69
  6. Step 6: Final answer
    x = 245,762.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.