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Finding the Fourth Proportional to 383,487.88, 530,169.82 and 287,828.50

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Solution

The fourth proportional to 383,487.88, 530,169.82 and 287,828.50 is: 397,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,487.88 : 530,169.82 = 287,828.50 : x
  2. Step 2: Convert to fraction form
    383,487.88/530,169.82 = 287,828.50/x
  3. Step 3: Cross multiply
    383,487.88x = 530,169.82 × 287,828.50
  4. Step 4: Simplify right side
    383,487.88x = 152,597,984,035.87
  5. Step 5: Solve for x
    x = 152,597,984,035.87/383,487.88
  6. Step 6: Final answer
    x = 397,921.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.