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Finding the Fourth Proportional to 386,106.40, 579,140.40 and 199,136.80

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Solution

The fourth proportional to 386,106.40, 579,140.40 and 199,136.80 is: 298,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,106.40 : 579,140.40 = 199,136.80 : x
  2. Step 2: Convert to fraction form
    386,106.40/579,140.40 = 199,136.80/x
  3. Step 3: Cross multiply
    386,106.40x = 579,140.40 × 199,136.80
  4. Step 4: Simplify right side
    386,106.40x = 115,328,166,006.72
  5. Step 5: Solve for x
    x = 115,328,166,006.72/386,106.40
  6. Step 6: Final answer
    x = 298,695.30

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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.