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Finding the Fourth Proportional to 659,137.60, 988,936.80 and 285,428.80

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Solution

The fourth proportional to 659,137.60, 988,936.80 and 285,428.80 is: 428,242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,137.60 : 988,936.80 = 285,428.80 : x
  2. Step 2: Convert to fraction form
    659,137.60/988,936.80 = 285,428.80/x
  3. Step 3: Cross multiply
    659,137.60x = 988,936.80 × 285,428.80
  4. Step 4: Simplify right side
    659,137.60x = 282,271,044,099.84
  5. Step 5: Solve for x
    x = 282,271,044,099.84/659,137.60
  6. Step 6: Final answer
    x = 428,242.97

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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.