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Finding the Fourth Proportional to 398,501.56, 549,932.16 and 219,653.56

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Solution

The fourth proportional to 398,501.56, 549,932.16 and 219,653.56 is: 303,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,501.56 : 549,932.16 = 219,653.56 : x
  2. Step 2: Convert to fraction form
    398,501.56/549,932.16 = 219,653.56/x
  3. Step 3: Cross multiply
    398,501.56x = 549,932.16 × 219,653.56
  4. Step 4: Simplify right side
    398,501.56x = 120,794,556,702.49
  5. Step 5: Solve for x
    x = 120,794,556,702.49/398,501.56
  6. Step 6: Final answer
    x = 303,121.92

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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.