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Finding the Fourth Proportional to 314,277.12, 434,209.82 and 219,208.23

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Solution

The fourth proportional to 314,277.12, 434,209.82 and 219,208.23 is: 302,861.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,277.12 : 434,209.82 = 219,208.23 : x
  2. Step 2: Convert to fraction form
    314,277.12/434,209.82 = 219,208.23/x
  3. Step 3: Cross multiply
    314,277.12x = 434,209.82 × 219,208.23
  4. Step 4: Simplify right side
    314,277.12x = 95,182,364,994.78
  5. Step 5: Solve for x
    x = 95,182,364,994.78/314,277.12
  6. Step 6: Final answer
    x = 302,861.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.