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Finding the Fourth Proportional to 379,580.87, 523,851.14 and 209,830.79

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Solution

The fourth proportional to 379,580.87, 523,851.14 and 209,830.79 is: 289,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,580.87 : 523,851.14 = 209,830.79 : x
  2. Step 2: Convert to fraction form
    379,580.87/523,851.14 = 209,830.79/x
  3. Step 3: Cross multiply
    379,580.87x = 523,851.14 × 209,830.79
  4. Step 4: Simplify right side
    379,580.87x = 109,920,096,453.92
  5. Step 5: Solve for x
    x = 109,920,096,453.92/379,580.87
  6. Step 6: Final answer
    x = 289,582.82

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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.