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Finding the Fourth Proportional to 421,590.24, 632,386.44 and 172,272.24

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Solution

The fourth proportional to 421,590.24, 632,386.44 and 172,272.24 is: 258,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,590.24 : 632,386.44 = 172,272.24 : x
  2. Step 2: Convert to fraction form
    421,590.24/632,386.44 = 172,272.24/x
  3. Step 3: Cross multiply
    421,590.24x = 632,386.44 × 172,272.24
  4. Step 4: Simplify right side
    421,590.24x = 108,942,628,564.43
  5. Step 5: Solve for x
    x = 108,942,628,564.43/421,590.24
  6. Step 6: Final answer
    x = 258,408.80

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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.