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Finding the Fourth Proportional to 298,378.09, 411,772.63 and 162,405.47

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Solution

The fourth proportional to 298,378.09, 411,772.63 and 162,405.47 is: 224,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,378.09 : 411,772.63 = 162,405.47 : x
  2. Step 2: Convert to fraction form
    298,378.09/411,772.63 = 162,405.47/x
  3. Step 3: Cross multiply
    298,378.09x = 411,772.63 × 162,405.47
  4. Step 4: Simplify right side
    298,378.09x = 66,874,125,449.42
  5. Step 5: Solve for x
    x = 66,874,125,449.42/298,378.09
  6. Step 6: Final answer
    x = 224,125.46

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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.