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Finding the Fourth Proportional to 449,434, 674,347.80 and 212,945.68

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Solution

The fourth proportional to 449,434, 674,347.80 and 212,945.68 is: 319,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,434 : 674,347.80 = 212,945.68 : x
  2. Step 2: Convert to fraction form
    449,434/674,347.80 = 212,945.68/x
  3. Step 3: Cross multiply
    449,434x = 674,347.80 × 212,945.68
  4. Step 4: Simplify right side
    449,434x = 143,599,450,827.50
  5. Step 5: Solve for x
    x = 143,599,450,827.50/449,434
  6. Step 6: Final answer
    x = 319,511.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.