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Finding the Fourth Proportional to 549,424.32, 758,322.72 and 323,198.88

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Solution

The fourth proportional to 549,424.32, 758,322.72 and 323,198.88 is: 446,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,424.32 : 758,322.72 = 323,198.88 : x
  2. Step 2: Convert to fraction form
    549,424.32/758,322.72 = 323,198.88/x
  3. Step 3: Cross multiply
    549,424.32x = 758,322.72 × 323,198.88
  4. Step 4: Simplify right side
    549,424.32x = 245,089,053,782.55
  5. Step 5: Solve for x
    x = 245,089,053,782.55/549,424.32
  6. Step 6: Final answer
    x = 446,083.37

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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.