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Finding the Fourth Proportional to 478,847.70, 718,271.55 and 419,798.70

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Solution

The fourth proportional to 478,847.70, 718,271.55 and 419,798.70 is: 629,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,847.70 : 718,271.55 = 419,798.70 : x
  2. Step 2: Convert to fraction form
    478,847.70/718,271.55 = 419,798.70/x
  3. Step 3: Cross multiply
    478,847.70x = 718,271.55 × 419,798.70
  4. Step 4: Simplify right side
    478,847.70x = 301,529,462,936.99
  5. Step 5: Solve for x
    x = 301,529,462,936.99/478,847.70
  6. Step 6: Final answer
    x = 629,698.05

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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.