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Finding the Fourth Proportional to 255,820.33, 383,996.67 and 188,428.47

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Solution

The fourth proportional to 255,820.33, 383,996.67 and 188,428.47 is: 282,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,820.33 : 383,996.67 = 188,428.47 : x
  2. Step 2: Convert to fraction form
    255,820.33/383,996.67 = 188,428.47/x
  3. Step 3: Cross multiply
    255,820.33x = 383,996.67 × 188,428.47
  4. Step 4: Simplify right side
    255,820.33x = 72,355,905,013.19
  5. Step 5: Solve for x
    x = 72,355,905,013.19/255,820.33
  6. Step 6: Final answer
    x = 282,838.76

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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.