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Finding the Fourth Proportional to 383,556.40, 575,377.80 and 117,314.80

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Solution

The fourth proportional to 383,556.40, 575,377.80 and 117,314.80 is: 175,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,556.40 : 575,377.80 = 117,314.80 : x
  2. Step 2: Convert to fraction form
    383,556.40/575,377.80 = 117,314.80/x
  3. Step 3: Cross multiply
    383,556.40x = 575,377.80 × 117,314.80
  4. Step 4: Simplify right side
    383,556.40x = 67,500,331,531.44
  5. Step 5: Solve for x
    x = 67,500,331,531.44/383,556.40
  6. Step 6: Final answer
    x = 175,985.41

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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.