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Finding the Fourth Proportional to 298,447.71, 411,865.24 and 162,489.11

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Solution

The fourth proportional to 298,447.71, 411,865.24 and 162,489.11 is: 224,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,447.71 : 411,865.24 = 162,489.11 : x
  2. Step 2: Convert to fraction form
    298,447.71/411,865.24 = 162,489.11/x
  3. Step 3: Cross multiply
    298,447.71x = 411,865.24 × 162,489.11
  4. Step 4: Simplify right side
    298,447.71x = 66,923,617,259.02
  5. Step 5: Solve for x
    x = 66,923,617,259.02/298,447.71
  6. Step 6: Final answer
    x = 224,239.01

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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.