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Finding the Fourth Proportional to 419,136.85, 578,421.89 and 228,162.97

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Solution

The fourth proportional to 419,136.85, 578,421.89 and 228,162.97 is: 314,871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,136.85 : 578,421.89 = 228,162.97 : x
  2. Step 2: Convert to fraction form
    419,136.85/578,421.89 = 228,162.97/x
  3. Step 3: Cross multiply
    419,136.85x = 578,421.89 × 228,162.97
  4. Step 4: Simplify right side
    419,136.85x = 131,974,454,013.71
  5. Step 5: Solve for x
    x = 131,974,454,013.71/419,136.85
  6. Step 6: Final answer
    x = 314,871.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.