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Finding the Fourth Proportional to 379,647.34, 523,897.23 and 207,562.30

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Solution

The fourth proportional to 379,647.34, 523,897.23 and 207,562.30 is: 286,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,647.34 : 523,897.23 = 207,562.30 : x
  2. Step 2: Convert to fraction form
    379,647.34/523,897.23 = 207,562.30/x
  3. Step 3: Cross multiply
    379,647.34x = 523,897.23 × 207,562.30
  4. Step 4: Simplify right side
    379,647.34x = 108,741,313,491.05
  5. Step 5: Solve for x
    x = 108,741,313,491.05/379,647.34
  6. Step 6: Final answer
    x = 286,427.17

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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.