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Finding the Fourth Proportional to 379,572, 523,764 and 209,783.04

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Solution

The fourth proportional to 379,572, 523,764 and 209,783.04 is: 289,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,572 : 523,764 = 209,783.04 : x
  2. Step 2: Convert to fraction form
    379,572/523,764 = 209,783.04/x
  3. Step 3: Cross multiply
    379,572x = 523,764 × 209,783.04
  4. Step 4: Simplify right side
    379,572x = 109,876,804,162.56
  5. Step 5: Solve for x
    x = 109,876,804,162.56/379,572
  6. Step 6: Final answer
    x = 289,475.53

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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.