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Finding the Fourth Proportional to 381,116, 525,902.28 and 220,023.02

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Solution

The fourth proportional to 381,116, 525,902.28 and 220,023.02 is: 303,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,116 : 525,902.28 = 220,023.02 : x
  2. Step 2: Convert to fraction form
    381,116/525,902.28 = 220,023.02/x
  3. Step 3: Cross multiply
    381,116x = 525,902.28 × 220,023.02
  4. Step 4: Simplify right side
    381,116x = 115,710,607,870.49
  5. Step 5: Solve for x
    x = 115,710,607,870.49/381,116
  6. Step 6: Final answer
    x = 303,609.95

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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.