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Finding the Fourth Proportional to 214,403.60, 321,620.88 and 56,630

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Solution

The fourth proportional to 214,403.60, 321,620.88 and 56,630 is: 84,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,403.60 : 321,620.88 = 56,630 : x
  2. Step 2: Convert to fraction form
    214,403.60/321,620.88 = 56,630/x
  3. Step 3: Cross multiply
    214,403.60x = 321,620.88 × 56,630
  4. Step 4: Simplify right side
    214,403.60x = 18,213,390,434.40
  5. Step 5: Solve for x
    x = 18,213,390,434.40/214,403.60
  6. Step 6: Final answer
    x = 84,949.09

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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.