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Finding the Fourth Proportional to 380,322, 524,844.36 and 210,567.06

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Solution

The fourth proportional to 380,322, 524,844.36 and 210,567.06 is: 290,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,322 : 524,844.36 = 210,567.06 : x
  2. Step 2: Convert to fraction form
    380,322/524,844.36 = 210,567.06/x
  3. Step 3: Cross multiply
    380,322x = 524,844.36 × 210,567.06
  4. Step 4: Simplify right side
    380,322x = 110,514,933,842.78
  5. Step 5: Solve for x
    x = 110,514,933,842.78/380,322
  6. Step 6: Final answer
    x = 290,582.54

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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.