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Finding the Fourth Proportional to 383,558.28, 575,342.28 and 146,915.16

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Solution

The fourth proportional to 383,558.28, 575,342.28 and 146,915.16 is: 220,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,558.28 : 575,342.28 = 146,915.16 : x
  2. Step 2: Convert to fraction form
    383,558.28/575,342.28 = 146,915.16/x
  3. Step 3: Cross multiply
    383,558.28x = 575,342.28 × 146,915.16
  4. Step 4: Simplify right side
    383,558.28x = 84,526,503,120.96
  5. Step 5: Solve for x
    x = 84,526,503,120.96/383,558.28
  6. Step 6: Final answer
    x = 220,374.60

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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.