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Finding the Fourth Proportional to 398,410.75, 549,806.85 and 219,562.75

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Solution

The fourth proportional to 398,410.75, 549,806.85 and 219,562.75 is: 302,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,410.75 : 549,806.85 = 219,562.75 : x
  2. Step 2: Convert to fraction form
    398,410.75/549,806.85 = 219,562.75/x
  3. Step 3: Cross multiply
    398,410.75x = 549,806.85 × 219,562.75
  4. Step 4: Simplify right side
    398,410.75x = 120,717,103,954.84
  5. Step 5: Solve for x
    x = 120,717,103,954.84/398,410.75
  6. Step 6: Final answer
    x = 302,996.60

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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.