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Finding the Fourth Proportional to 380,189.44, 524,659.44 and 210,417.76

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Solution

The fourth proportional to 380,189.44, 524,659.44 and 210,417.76 is: 290,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,189.44 : 524,659.44 = 210,417.76 : x
  2. Step 2: Convert to fraction form
    380,189.44/524,659.44 = 210,417.76/x
  3. Step 3: Cross multiply
    380,189.44x = 524,659.44 × 210,417.76
  4. Step 4: Simplify right side
    380,189.44x = 110,397,664,127.65
  5. Step 5: Solve for x
    x = 110,397,664,127.65/380,189.44
  6. Step 6: Final answer
    x = 290,375.41

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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.