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Finding the Fourth Proportional to 383,478.50, 575,216.80 and 113,627.66

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Solution

The fourth proportional to 383,478.50, 575,216.80 and 113,627.66 is: 170,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,478.50 : 575,216.80 = 113,627.66 : x
  2. Step 2: Convert to fraction form
    383,478.50/575,216.80 = 113,627.66/x
  3. Step 3: Cross multiply
    383,478.50x = 575,216.80 × 113,627.66
  4. Step 4: Simplify right side
    383,478.50x = 65,360,535,816.53
  5. Step 5: Solve for x
    x = 65,360,535,816.53/383,478.50
  6. Step 6: Final answer
    x = 170,441.20

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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.