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Finding the Fourth Proportional to 328,175.69, 492,263.51 and 78,857.69

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Solution

The fourth proportional to 328,175.69, 492,263.51 and 78,857.69 is: 118,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,175.69 : 492,263.51 = 78,857.69 : x
  2. Step 2: Convert to fraction form
    328,175.69/492,263.51 = 78,857.69/x
  3. Step 3: Cross multiply
    328,175.69x = 492,263.51 × 78,857.69
  4. Step 4: Simplify right side
    328,175.69x = 38,818,763,269.89
  5. Step 5: Solve for x
    x = 38,818,763,269.89/328,175.69
  6. Step 6: Final answer
    x = 118,286.53

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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.