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Finding the Fourth Proportional to 380,169.98, 569,950.49 and 190,533

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Solution

The fourth proportional to 380,169.98, 569,950.49 and 190,533 is: 285,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,169.98 : 569,950.49 = 190,533 : x
  2. Step 2: Convert to fraction form
    380,169.98/569,950.49 = 190,533/x
  3. Step 3: Cross multiply
    380,169.98x = 569,950.49 × 190,533
  4. Step 4: Simplify right side
    380,169.98x = 108,594,376,711.17
  5. Step 5: Solve for x
    x = 108,594,376,711.17/380,169.98
  6. Step 6: Final answer
    x = 285,646.90

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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.