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Finding the Fourth Proportional to 471,692.40, 706,501.80 and 419,161.20

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Solution

The fourth proportional to 471,692.40, 706,501.80 and 419,161.20 is: 627,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,692.40 : 706,501.80 = 419,161.20 : x
  2. Step 2: Convert to fraction form
    471,692.40/706,501.80 = 419,161.20/x
  3. Step 3: Cross multiply
    471,692.40x = 706,501.80 × 419,161.20
  4. Step 4: Simplify right side
    471,692.40x = 296,138,142,290.16
  5. Step 5: Solve for x
    x = 296,138,142,290.16/471,692.40
  6. Step 6: Final answer
    x = 627,820.47

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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.