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Finding the Fourth Proportional to 379,862.46, 524,223.90 and 210,097.80

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Solution

The fourth proportional to 379,862.46, 524,223.90 and 210,097.80 is: 289,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,862.46 : 524,223.90 = 210,097.80 : x
  2. Step 2: Convert to fraction form
    379,862.46/524,223.90 = 210,097.80/x
  3. Step 3: Cross multiply
    379,862.46x = 524,223.90 × 210,097.80
  4. Step 4: Simplify right side
    379,862.46x = 110,138,288,097.42
  5. Step 5: Solve for x
    x = 110,138,288,097.42/379,862.46
  6. Step 6: Final answer
    x = 289,942.54

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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.