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Finding the Fourth Proportional to 397,314, 548,293.32 and 218,466

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Solution

The fourth proportional to 397,314, 548,293.32 and 218,466 is: 301,483.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,314 : 548,293.32 = 218,466 : x
  2. Step 2: Convert to fraction form
    397,314/548,293.32 = 218,466/x
  3. Step 3: Cross multiply
    397,314x = 548,293.32 × 218,466
  4. Step 4: Simplify right side
    397,314x = 119,783,448,447.12
  5. Step 5: Solve for x
    x = 119,783,448,447.12/397,314
  6. Step 6: Final answer
    x = 301,483.08

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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.