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Finding the Fourth Proportional to 380,470.95, 525,049.70 and 210,704.94

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Solution

The fourth proportional to 380,470.95, 525,049.70 and 210,704.94 is: 290,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,470.95 : 525,049.70 = 210,704.94 : x
  2. Step 2: Convert to fraction form
    380,470.95/525,049.70 = 210,704.94/x
  3. Step 3: Cross multiply
    380,470.95x = 525,049.70 × 210,704.94
  4. Step 4: Simplify right side
    380,470.95x = 110,630,564,481.99
  5. Step 5: Solve for x
    x = 110,630,564,481.99/380,470.95
  6. Step 6: Final answer
    x = 290,772.70

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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.