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Finding the Fourth Proportional to 312,447.90, 431,055.99 and 181,603.77

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Solution

The fourth proportional to 312,447.90, 431,055.99 and 181,603.77 is: 250,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,447.90 : 431,055.99 = 181,603.77 : x
  2. Step 2: Convert to fraction form
    312,447.90/431,055.99 = 181,603.77/x
  3. Step 3: Cross multiply
    312,447.90x = 431,055.99 × 181,603.77
  4. Step 4: Simplify right side
    312,447.90x = 78,281,392,865.08
  5. Step 5: Solve for x
    x = 78,281,392,865.08/312,447.90
  6. Step 6: Final answer
    x = 250,542.23

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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.