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Finding the Fourth Proportional to 381,126.83, 525,955.79 and 209,046.20

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Solution

The fourth proportional to 381,126.83, 525,955.79 and 209,046.20 is: 288,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,126.83 : 525,955.79 = 209,046.20 : x
  2. Step 2: Convert to fraction form
    381,126.83/525,955.79 = 209,046.20/x
  3. Step 3: Cross multiply
    381,126.83x = 525,955.79 × 209,046.20
  4. Step 4: Simplify right side
    381,126.83x = 109,949,058,222.27
  5. Step 5: Solve for x
    x = 109,949,058,222.27/381,126.83
  6. Step 6: Final answer
    x = 288,484.17

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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.