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Finding the Fourth Proportional to 311,897.70, 430,485.48 and 197,103.24

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Solution

The fourth proportional to 311,897.70, 430,485.48 and 197,103.24 is: 272,044.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,897.70 : 430,485.48 = 197,103.24 : x
  2. Step 2: Convert to fraction form
    311,897.70/430,485.48 = 197,103.24/x
  3. Step 3: Cross multiply
    311,897.70x = 430,485.48 × 197,103.24
  4. Step 4: Simplify right side
    311,897.70x = 84,850,082,880.96
  5. Step 5: Solve for x
    x = 84,850,082,880.96/311,897.70
  6. Step 6: Final answer
    x = 272,044.59

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1.5x scale

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.