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Finding the Fourth Proportional to 214,401.60, 321,617.88 and 56,628

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Solution

The fourth proportional to 214,401.60, 321,617.88 and 56,628 is: 84,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,401.60 : 321,617.88 = 56,628 : x
  2. Step 2: Convert to fraction form
    214,401.60/321,617.88 = 56,628/x
  3. Step 3: Cross multiply
    214,401.60x = 321,617.88 × 56,628
  4. Step 4: Simplify right side
    214,401.60x = 18,212,577,308.64
  5. Step 5: Solve for x
    x = 18,212,577,308.64/214,401.60
  6. Step 6: Final answer
    x = 84,946.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.