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Finding the Fourth Proportional to 290,047.92, 435,054.33 and 172,467.51

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Solution

The fourth proportional to 290,047.92, 435,054.33 and 172,467.51 is: 258,690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,047.92 : 435,054.33 = 172,467.51 : x
  2. Step 2: Convert to fraction form
    290,047.92/435,054.33 = 172,467.51/x
  3. Step 3: Cross multiply
    290,047.92x = 435,054.33 × 172,467.51
  4. Step 4: Simplify right side
    290,047.92x = 75,032,737,009.82
  5. Step 5: Solve for x
    x = 75,032,737,009.82/290,047.92
  6. Step 6: Final answer
    x = 258,690.83

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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.