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Finding the Fourth Proportional to 398,379.68, 549,756.72 and 217,093.12

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Solution

The fourth proportional to 398,379.68, 549,756.72 and 217,093.12 is: 299,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,379.68 : 549,756.72 = 217,093.12 : x
  2. Step 2: Convert to fraction form
    398,379.68/549,756.72 = 217,093.12/x
  3. Step 3: Cross multiply
    398,379.68x = 549,756.72 × 217,093.12
  4. Step 4: Simplify right side
    398,379.68x = 119,348,401,585.77
  5. Step 5: Solve for x
    x = 119,348,401,585.77/398,379.68
  6. Step 6: Final answer
    x = 299,584.56

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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.