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Finding the Fourth Proportional to 428,692.04, 643,182.12 and 300,741.68

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Solution

The fourth proportional to 428,692.04, 643,182.12 and 300,741.68 is: 451,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,692.04 : 643,182.12 = 300,741.68 : x
  2. Step 2: Convert to fraction form
    428,692.04/643,182.12 = 300,741.68/x
  3. Step 3: Cross multiply
    428,692.04x = 643,182.12 × 300,741.68
  4. Step 4: Simplify right side
    428,692.04x = 193,431,671,314.76
  5. Step 5: Solve for x
    x = 193,431,671,314.76/428,692.04
  6. Step 6: Final answer
    x = 451,213.58

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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.