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Finding the Fourth Proportional to 380,188.44, 524,658.06 and 210,416.76

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Solution

The fourth proportional to 380,188.44, 524,658.06 and 210,416.76 is: 290,374.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,188.44 : 524,658.06 = 210,416.76 : x
  2. Step 2: Convert to fraction form
    380,188.44/524,658.06 = 210,416.76/x
  3. Step 3: Cross multiply
    380,188.44x = 524,658.06 × 210,416.76
  4. Step 4: Simplify right side
    380,188.44x = 110,396,849,093.09
  5. Step 5: Solve for x
    x = 110,396,849,093.09/380,188.44
  6. Step 6: Final answer
    x = 290,374.03

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1.5x scale

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.