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Finding the Fourth Proportional to 314,628.80, 471,860.64 and 214,770.56

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Solution

The fourth proportional to 314,628.80, 471,860.64 and 214,770.56 is: 322,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,628.80 : 471,860.64 = 214,770.56 : x
  2. Step 2: Convert to fraction form
    314,628.80/471,860.64 = 214,770.56/x
  3. Step 3: Cross multiply
    314,628.80x = 471,860.64 × 214,770.56
  4. Step 4: Simplify right side
    314,628.80x = 101,341,773,894.76
  5. Step 5: Solve for x
    x = 101,341,773,894.76/314,628.80
  6. Step 6: Final answer
    x = 322,099.48

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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.