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Finding the Fourth Proportional to 298,377.74, 411,772.15 and 162,405.12

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Solution

The fourth proportional to 298,377.74, 411,772.15 and 162,405.12 is: 224,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,377.74 : 411,772.15 = 162,405.12 : x
  2. Step 2: Convert to fraction form
    298,377.74/411,772.15 = 162,405.12/x
  3. Step 3: Cross multiply
    298,377.74x = 411,772.15 × 162,405.12
  4. Step 4: Simplify right side
    298,377.74x = 66,873,905,433.41
  5. Step 5: Solve for x
    x = 66,873,905,433.41/298,377.74
  6. Step 6: Final answer
    x = 224,124.98

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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.