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Finding the Fourth Proportional to 379,701.69, 569,271.33 and 229,906.77

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Solution

The fourth proportional to 379,701.69, 569,271.33 and 229,906.77 is: 344,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,701.69 : 569,271.33 = 229,906.77 : x
  2. Step 2: Convert to fraction form
    379,701.69/569,271.33 = 229,906.77/x
  3. Step 3: Cross multiply
    379,701.69x = 569,271.33 × 229,906.77
  4. Step 4: Simplify right side
    379,701.69x = 130,879,332,733.90
  5. Step 5: Solve for x
    x = 130,879,332,733.90/379,701.69
  6. Step 6: Final answer
    x = 344,689.89

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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.