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Finding the Fourth Proportional to 398,409.22, 549,804.82 and 217,121.20

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Solution

The fourth proportional to 398,409.22, 549,804.82 and 217,121.20 is: 299,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,409.22 : 549,804.82 = 217,121.20 : x
  2. Step 2: Convert to fraction form
    398,409.22/549,804.82 = 217,121.20/x
  3. Step 3: Cross multiply
    398,409.22x = 549,804.82 × 217,121.20
  4. Step 4: Simplify right side
    398,409.22x = 119,374,282,284.18
  5. Step 5: Solve for x
    x = 119,374,282,284.18/398,409.22
  6. Step 6: Final answer
    x = 299,627.31

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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.