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Finding the Fourth Proportional to 421,403.67, 632,106.05 and 172,085.67

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Solution

The fourth proportional to 421,403.67, 632,106.05 and 172,085.67 is: 258,128.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,403.67 : 632,106.05 = 172,085.67 : x
  2. Step 2: Convert to fraction form
    421,403.67/632,106.05 = 172,085.67/x
  3. Step 3: Cross multiply
    421,403.67x = 632,106.05 × 172,085.67
  4. Step 4: Simplify right side
    421,403.67x = 108,776,392,264.88
  5. Step 5: Solve for x
    x = 108,776,392,264.88/421,403.67
  6. Step 6: Final answer
    x = 258,128.73

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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.