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Finding the Fourth Proportional to 398,097.76, 549,381.36 and 219,249.76

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Solution

The fourth proportional to 398,097.76, 549,381.36 and 219,249.76 is: 302,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,097.76 : 549,381.36 = 219,249.76 : x
  2. Step 2: Convert to fraction form
    398,097.76/549,381.36 = 219,249.76/x
  3. Step 3: Cross multiply
    398,097.76x = 549,381.36 × 219,249.76
  4. Step 4: Simplify right side
    398,097.76x = 120,451,731,328.47
  5. Step 5: Solve for x
    x = 120,451,731,328.47/398,097.76
  6. Step 6: Final answer
    x = 302,568.22

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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.