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Finding the Fourth Proportional to 300,071.40, 413,433.90 and 197,916.60

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Solution

The fourth proportional to 300,071.40, 413,433.90 and 197,916.60 is: 272,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,071.40 : 413,433.90 = 197,916.60 : x
  2. Step 2: Convert to fraction form
    300,071.40/413,433.90 = 197,916.60/x
  3. Step 3: Cross multiply
    300,071.40x = 413,433.90 × 197,916.60
  4. Step 4: Simplify right side
    300,071.40x = 81,825,431,812.74
  5. Step 5: Solve for x
    x = 81,825,431,812.74/300,071.40
  6. Step 6: Final answer
    x = 272,686.54

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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.