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Finding the Fourth Proportional to 443,705.80, 665,631.60 and 191,107.30

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Solution

The fourth proportional to 443,705.80, 665,631.60 and 191,107.30 is: 286,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,705.80 : 665,631.60 = 191,107.30 : x
  2. Step 2: Convert to fraction form
    443,705.80/665,631.60 = 191,107.30/x
  3. Step 3: Cross multiply
    443,705.80x = 665,631.60 × 191,107.30
  4. Step 4: Simplify right side
    443,705.80x = 127,207,057,870.68
  5. Step 5: Solve for x
    x = 127,207,057,870.68/443,705.80
  6. Step 6: Final answer
    x = 286,692.35

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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.