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Finding the Fourth Proportional to 328,778.87, 492,771.74 and 160,046.28

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Solution

The fourth proportional to 328,778.87, 492,771.74 and 160,046.28 is: 239,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,778.87 : 492,771.74 = 160,046.28 : x
  2. Step 2: Convert to fraction form
    328,778.87/492,771.74 = 160,046.28/x
  3. Step 3: Cross multiply
    328,778.87x = 492,771.74 × 160,046.28
  4. Step 4: Simplify right side
    328,778.87x = 78,866,283,075.90
  5. Step 5: Solve for x
    x = 78,866,283,075.90/328,778.87
  6. Step 6: Final answer
    x = 239,876.38

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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.