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Finding the Fourth Proportional to 290,048.92, 435,055.83 and 172,468.51

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Solution

The fourth proportional to 290,048.92, 435,055.83 and 172,468.51 is: 258,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,048.92 : 435,055.83 = 172,468.51 : x
  2. Step 2: Convert to fraction form
    290,048.92/435,055.83 = 172,468.51/x
  3. Step 3: Cross multiply
    290,048.92x = 435,055.83 × 172,468.51
  4. Step 4: Simplify right side
    290,048.92x = 75,033,430,766.91
  5. Step 5: Solve for x
    x = 75,033,430,766.91/290,048.92
  6. Step 6: Final answer
    x = 258,692.33

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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.