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Finding the Fourth Proportional to 379,541.72, 523,794.74 and 209,772.20

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Solution

The fourth proportional to 379,541.72, 523,794.74 and 209,772.20 is: 289,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,541.72 : 523,794.74 = 209,772.20 : x
  2. Step 2: Convert to fraction form
    379,541.72/523,794.74 = 209,772.20/x
  3. Step 3: Cross multiply
    379,541.72x = 523,794.74 × 209,772.20
  4. Step 4: Simplify right side
    379,541.72x = 109,877,574,958.23
  5. Step 5: Solve for x
    x = 109,877,574,958.23/379,541.72
  6. Step 6: Final answer
    x = 289,500.65

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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.