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Finding the Fourth Proportional to 386,515.80, 579,485.70 and 199,661.40

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Solution

The fourth proportional to 386,515.80, 579,485.70 and 199,661.40 is: 299,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,515.80 : 579,485.70 = 199,661.40 : x
  2. Step 2: Convert to fraction form
    386,515.80/579,485.70 = 199,661.40/x
  3. Step 3: Cross multiply
    386,515.80x = 579,485.70 × 199,661.40
  4. Step 4: Simplify right side
    386,515.80x = 115,700,926,141.98
  5. Step 5: Solve for x
    x = 115,700,926,141.98/386,515.80
  6. Step 6: Final answer
    x = 299,343.33

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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.