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Finding the Fourth Proportional to 298,381.79, 411,766.47 and 162,415.33

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Solution

The fourth proportional to 298,381.79, 411,766.47 and 162,415.33 is: 224,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,381.79 : 411,766.47 = 162,415.33 : x
  2. Step 2: Convert to fraction form
    298,381.79/411,766.47 = 162,415.33/x
  3. Step 3: Cross multiply
    298,381.79x = 411,766.47 × 162,415.33
  4. Step 4: Simplify right side
    298,381.79x = 66,877,186,078.57
  5. Step 5: Solve for x
    x = 66,877,186,078.57/298,381.79
  6. Step 6: Final answer
    x = 224,132.93

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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.