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Finding the Fourth Proportional to 319,846, 441,426.36 and 185,710

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Solution

The fourth proportional to 319,846, 441,426.36 and 185,710 is: 256,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,846 : 441,426.36 = 185,710 : x
  2. Step 2: Convert to fraction form
    319,846/441,426.36 = 185,710/x
  3. Step 3: Cross multiply
    319,846x = 441,426.36 × 185,710
  4. Step 4: Simplify right side
    319,846x = 81,977,289,315.60
  5. Step 5: Solve for x
    x = 81,977,289,315.60/319,846
  6. Step 6: Final answer
    x = 256,302.37

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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.