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Finding the Fourth Proportional to 298,343.79, 411,708.69 and 162,380.74

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Solution

The fourth proportional to 298,343.79, 411,708.69 and 162,380.74 is: 224,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,343.79 : 411,708.69 = 162,380.74 : x
  2. Step 2: Convert to fraction form
    298,343.79/411,708.69 = 162,380.74/x
  3. Step 3: Cross multiply
    298,343.79x = 411,708.69 × 162,380.74
  4. Step 4: Simplify right side
    298,343.79x = 66,853,561,746.63
  5. Step 5: Solve for x
    x = 66,853,561,746.63/298,343.79
  6. Step 6: Final answer
    x = 224,082.30

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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.