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Finding the Fourth Proportional to 379,721.08, 523,994.16 and 209,944

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Solution

The fourth proportional to 379,721.08, 523,994.16 and 209,944 is: 289,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,721.08 : 523,994.16 = 209,944 : x
  2. Step 2: Convert to fraction form
    379,721.08/523,994.16 = 209,944/x
  3. Step 3: Cross multiply
    379,721.08x = 523,994.16 × 209,944
  4. Step 4: Simplify right side
    379,721.08x = 110,009,429,927.04
  5. Step 5: Solve for x
    x = 110,009,429,927.04/379,721.08
  6. Step 6: Final answer
    x = 289,711.15

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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.