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Finding the Fourth Proportional to 397,872.83, 549,064.57 and 216,586.14

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Solution

The fourth proportional to 397,872.83, 549,064.57 and 216,586.14 is: 298,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,872.83 : 549,064.57 = 216,586.14 : x
  2. Step 2: Convert to fraction form
    397,872.83/549,064.57 = 216,586.14/x
  3. Step 3: Cross multiply
    397,872.83x = 549,064.57 × 216,586.14
  4. Step 4: Simplify right side
    397,872.83x = 118,919,775,691.69
  5. Step 5: Solve for x
    x = 118,919,775,691.69/397,872.83
  6. Step 6: Final answer
    x = 298,888.90

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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.