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Finding the Fourth Proportional to 470,819.80, 706,229.70 and 419,210.20

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Solution

The fourth proportional to 470,819.80, 706,229.70 and 419,210.20 is: 628,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,819.80 : 706,229.70 = 419,210.20 : x
  2. Step 2: Convert to fraction form
    470,819.80/706,229.70 = 419,210.20/x
  3. Step 3: Cross multiply
    470,819.80x = 706,229.70 × 419,210.20
  4. Step 4: Simplify right side
    470,819.80x = 296,058,693,782.94
  5. Step 5: Solve for x
    x = 296,058,693,782.94/470,819.80
  6. Step 6: Final answer
    x = 628,815.30

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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.