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Finding the Fourth Proportional to 383,642.40, 575,247.60 and 146,992.80

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Solution

The fourth proportional to 383,642.40, 575,247.60 and 146,992.80 is: 220,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,642.40 : 575,247.60 = 146,992.80 : x
  2. Step 2: Convert to fraction form
    383,642.40/575,247.60 = 146,992.80/x
  3. Step 3: Cross multiply
    383,642.40x = 575,247.60 × 146,992.80
  4. Step 4: Simplify right side
    383,642.40x = 84,557,255,417.28
  5. Step 5: Solve for x
    x = 84,557,255,417.28/383,642.40
  6. Step 6: Final answer
    x = 220,406.44

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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.