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Finding the Fourth Proportional to 705,427.41, 973,769 and 490,692.09

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Solution

The fourth proportional to 705,427.41, 973,769 and 490,692.09 is: 677,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,427.41 : 973,769 = 490,692.09 : x
  2. Step 2: Convert to fraction form
    705,427.41/973,769 = 490,692.09/x
  3. Step 3: Cross multiply
    705,427.41x = 973,769 × 490,692.09
  4. Step 4: Simplify right side
    705,427.41x = 477,820,745,787.21
  5. Step 5: Solve for x
    x = 477,820,745,787.21/705,427.41
  6. Step 6: Final answer
    x = 677,349.28

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1.5x scale

Why These Related Problems?

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