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Finding the Fourth Proportional to 313,692.80, 470,539.20 and 180,982.40

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Solution

The fourth proportional to 313,692.80, 470,539.20 and 180,982.40 is: 271,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,692.80 : 470,539.20 = 180,982.40 : x
  2. Step 2: Convert to fraction form
    313,692.80/470,539.20 = 180,982.40/x
  3. Step 3: Cross multiply
    313,692.80x = 470,539.20 × 180,982.40
  4. Step 4: Simplify right side
    313,692.80x = 85,159,313,710.08
  5. Step 5: Solve for x
    x = 85,159,313,710.08/313,692.80
  6. Step 6: Final answer
    x = 271,473.60

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1.5x scale

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.