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Finding the Fourth Proportional to 1,659,376, 2,489,064 and 477,424

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Solution

The fourth proportional to 1,659,376, 2,489,064 and 477,424 is: 716,136

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659,376 : 2,489,064 = 477,424 : x
  2. Step 2: Convert to fraction form
    1,659,376/2,489,064 = 477,424/x
  3. Step 3: Cross multiply
    1,659,376x = 2,489,064 × 477,424
  4. Step 4: Simplify right side
    1,659,376x = 1,188,338,891,136
  5. Step 5: Solve for x
    x = 1,188,338,891,136/1,659,376
  6. Step 6: Final answer
    x = 716,136

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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.