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Finding the Fourth Proportional to 398,406.56, 549,801.07 and 219,558.56

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Solution

The fourth proportional to 398,406.56, 549,801.07 and 219,558.56 is: 302,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,406.56 : 549,801.07 = 219,558.56 : x
  2. Step 2: Convert to fraction form
    398,406.56/549,801.07 = 219,558.56/x
  3. Step 3: Cross multiply
    398,406.56x = 549,801.07 × 219,558.56
  4. Step 4: Simplify right side
    398,406.56x = 120,713,532,041.27
  5. Step 5: Solve for x
    x = 120,713,532,041.27/398,406.56
  6. Step 6: Final answer
    x = 302,990.82

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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.