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Finding the Fourth Proportional to 397,872, 549,063.36 and 219,024

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Solution

The fourth proportional to 397,872, 549,063.36 and 219,024 is: 302,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,872 : 549,063.36 = 219,024 : x
  2. Step 2: Convert to fraction form
    397,872/549,063.36 = 219,024/x
  3. Step 3: Cross multiply
    397,872x = 549,063.36 × 219,024
  4. Step 4: Simplify right side
    397,872x = 120,258,053,360.64
  5. Step 5: Solve for x
    x = 120,258,053,360.64/397,872
  6. Step 6: Final answer
    x = 302,253.12

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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.