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Finding the Fourth Proportional to 379,264.33, 523,384.77 and 209,498.46

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Solution

The fourth proportional to 379,264.33, 523,384.77 and 209,498.46 is: 289,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,264.33 : 523,384.77 = 209,498.46 : x
  2. Step 2: Convert to fraction form
    379,264.33/523,384.77 = 209,498.46/x
  3. Step 3: Cross multiply
    379,264.33x = 523,384.77 × 209,498.46
  4. Step 4: Simplify right side
    379,264.33x = 109,648,303,302.45
  5. Step 5: Solve for x
    x = 109,648,303,302.45/379,264.33
  6. Step 6: Final answer
    x = 289,107.87

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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.