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Finding the Fourth Proportional to 381,642.33, 526,642.80 and 209,559.60

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Solution

The fourth proportional to 381,642.33, 526,642.80 and 209,559.60 is: 289,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,642.33 : 526,642.80 = 209,559.60 : x
  2. Step 2: Convert to fraction form
    381,642.33/526,642.80 = 209,559.60/x
  3. Step 3: Cross multiply
    381,642.33x = 526,642.80 × 209,559.60
  4. Step 4: Simplify right side
    381,642.33x = 110,363,054,510.88
  5. Step 5: Solve for x
    x = 110,363,054,510.88/381,642.33
  6. Step 6: Final answer
    x = 289,179.28

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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.