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Finding the Fourth Proportional to 421,858.08, 632,888.64 and 172,540.80

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Solution

The fourth proportional to 421,858.08, 632,888.64 and 172,540.80 is: 258,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,858.08 : 632,888.64 = 172,540.80 : x
  2. Step 2: Convert to fraction form
    421,858.08/632,888.64 = 172,540.80/x
  3. Step 3: Cross multiply
    421,858.08x = 632,888.64 × 172,540.80
  4. Step 4: Simplify right side
    421,858.08x = 109,199,112,256.51
  5. Step 5: Solve for x
    x = 109,199,112,256.51/421,858.08
  6. Step 6: Final answer
    x = 258,852.72

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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.