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Finding the Fourth Proportional to 379,872, 524,239.83 and 210,106.26

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Solution

The fourth proportional to 379,872, 524,239.83 and 210,106.26 is: 289,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,872 : 524,239.83 = 210,106.26 : x
  2. Step 2: Convert to fraction form
    379,872/524,239.83 = 210,106.26/x
  3. Step 3: Cross multiply
    379,872x = 524,239.83 × 210,106.26
  4. Step 4: Simplify right side
    379,872x = 110,146,070,024.34
  5. Step 5: Solve for x
    x = 110,146,070,024.34/379,872
  6. Step 6: Final answer
    x = 289,955.75

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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.