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Finding the Fourth Proportional to 379,138.48, 523,363.76 and 258,401.80

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Solution

The fourth proportional to 379,138.48, 523,363.76 and 258,401.80 is: 356,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,138.48 : 523,363.76 = 258,401.80 : x
  2. Step 2: Convert to fraction form
    379,138.48/523,363.76 = 258,401.80/x
  3. Step 3: Cross multiply
    379,138.48x = 523,363.76 × 258,401.80
  4. Step 4: Simplify right side
    379,138.48x = 135,238,137,638.77
  5. Step 5: Solve for x
    x = 135,238,137,638.77/379,138.48
  6. Step 6: Final answer
    x = 356,698.53

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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.