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Finding the Fourth Proportional to 298,099.70, 411,373.50 and 162,130.70

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Solution

The fourth proportional to 298,099.70, 411,373.50 and 162,130.70 is: 223,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,099.70 : 411,373.50 = 162,130.70 : x
  2. Step 2: Convert to fraction form
    298,099.70/411,373.50 = 162,130.70/x
  3. Step 3: Cross multiply
    298,099.70x = 411,373.50 × 162,130.70
  4. Step 4: Simplify right side
    298,099.70x = 66,696,273,516.45
  5. Step 5: Solve for x
    x = 66,696,273,516.45/298,099.70
  6. Step 6: Final answer
    x = 223,738.14

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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.