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Finding the Fourth Proportional to 383,788.28, 575,683.50 and 147,203.48

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Solution

The fourth proportional to 383,788.28, 575,683.50 and 147,203.48 is: 220,805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,788.28 : 575,683.50 = 147,203.48 : x
  2. Step 2: Convert to fraction form
    383,788.28/575,683.50 = 147,203.48/x
  3. Step 3: Cross multiply
    383,788.28x = 575,683.50 × 147,203.48
  4. Step 4: Simplify right side
    383,788.28x = 84,742,614,578.58
  5. Step 5: Solve for x
    x = 84,742,614,578.58/383,788.28
  6. Step 6: Final answer
    x = 220,805.63

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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.