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Finding the Fourth Proportional to 392,004.80, 588,314.40 and 181,668.80

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Solution

The fourth proportional to 392,004.80, 588,314.40 and 181,668.80 is: 272,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,004.80 : 588,314.40 = 181,668.80 : x
  2. Step 2: Convert to fraction form
    392,004.80/588,314.40 = 181,668.80/x
  3. Step 3: Cross multiply
    392,004.80x = 588,314.40 × 181,668.80
  4. Step 4: Simplify right side
    392,004.80x = 106,878,371,070.72
  5. Step 5: Solve for x
    x = 106,878,371,070.72/392,004.80
  6. Step 6: Final answer
    x = 272,645.57

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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.