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Finding the Fourth Proportional to 470,814.80, 706,222.20 and 419,205.20

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Solution

The fourth proportional to 470,814.80, 706,222.20 and 419,205.20 is: 628,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,814.80 : 706,222.20 = 419,205.20 : x
  2. Step 2: Convert to fraction form
    470,814.80/706,222.20 = 419,205.20/x
  3. Step 3: Cross multiply
    470,814.80x = 706,222.20 × 419,205.20
  4. Step 4: Simplify right side
    470,814.80x = 296,052,018,595.44
  5. Step 5: Solve for x
    x = 296,052,018,595.44/470,814.80
  6. Step 6: Final answer
    x = 628,807.80

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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.