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Finding the Fourth Proportional to 379,152, 523,382.40 and 258,415.29

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Solution

The fourth proportional to 379,152, 523,382.40 and 258,415.29 is: 356,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,152 : 523,382.40 = 258,415.29 : x
  2. Step 2: Convert to fraction form
    379,152/523,382.40 = 258,415.29/x
  3. Step 3: Cross multiply
    379,152x = 523,382.40 × 258,415.29
  4. Step 4: Simplify right side
    379,152x = 135,250,014,676.90
  5. Step 5: Solve for x
    x = 135,250,014,676.90/379,152
  6. Step 6: Final answer
    x = 356,717.13

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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.