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Finding the Fourth Proportional to 379,153, 523,383.78 and 258,416.29

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Solution

The fourth proportional to 379,153, 523,383.78 and 258,416.29 is: 356,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,153 : 523,383.78 = 258,416.29 : x
  2. Step 2: Convert to fraction form
    379,153/523,383.78 = 258,416.29/x
  3. Step 3: Cross multiply
    379,153x = 523,383.78 × 258,416.29
  4. Step 4: Simplify right side
    379,153x = 135,250,894,673.78
  5. Step 5: Solve for x
    x = 135,250,894,673.78/379,153
  6. Step 6: Final answer
    x = 356,718.51

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1.5x scale

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.