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Finding the Fourth Proportional to 386,321.60, 579,021.60 and 161,681.60

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Solution

The fourth proportional to 386,321.60, 579,021.60 and 161,681.60 is: 242,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,321.60 : 579,021.60 = 161,681.60 : x
  2. Step 2: Convert to fraction form
    386,321.60/579,021.60 = 161,681.60/x
  3. Step 3: Cross multiply
    386,321.60x = 579,021.60 × 161,681.60
  4. Step 4: Simplify right side
    386,321.60x = 93,617,138,722.56
  5. Step 5: Solve for x
    x = 93,617,138,722.56/386,321.60
  6. Step 6: Final answer
    x = 242,329.55

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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.