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Finding the Fourth Proportional to 381,090.84, 525,910.70 and 209,023.80

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Solution

The fourth proportional to 381,090.84, 525,910.70 and 209,023.80 is: 288,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,090.84 : 525,910.70 = 209,023.80 : x
  2. Step 2: Convert to fraction form
    381,090.84/525,910.70 = 209,023.80/x
  3. Step 3: Cross multiply
    381,090.84x = 525,910.70 × 209,023.80
  4. Step 4: Simplify right side
    381,090.84x = 109,927,852,974.66
  5. Step 5: Solve for x
    x = 109,927,852,974.66/381,090.84
  6. Step 6: Final answer
    x = 288,455.77

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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.