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Finding the Fourth Proportional to 397,994.90, 549,205.25 and 225,916.34

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Solution

The fourth proportional to 397,994.90, 549,205.25 and 225,916.34 is: 311,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,994.90 : 549,205.25 = 225,916.34 : x
  2. Step 2: Convert to fraction form
    397,994.90/549,205.25 = 225,916.34/x
  3. Step 3: Cross multiply
    397,994.90x = 549,205.25 × 225,916.34
  4. Step 4: Simplify right side
    397,994.90x = 124,074,436,113.18
  5. Step 5: Solve for x
    x = 124,074,436,113.18/397,994.90
  6. Step 6: Final answer
    x = 311,748.81

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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.