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Finding the Fourth Proportional to 255,707.33, 383,576.37 and 78,215.88

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Solution

The fourth proportional to 255,707.33, 383,576.37 and 78,215.88 is: 117,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,707.33 : 383,576.37 = 78,215.88 : x
  2. Step 2: Convert to fraction form
    255,707.33/383,576.37 = 78,215.88/x
  3. Step 3: Cross multiply
    255,707.33x = 383,576.37 × 78,215.88
  4. Step 4: Simplify right side
    255,707.33x = 30,001,763,326.76
  5. Step 5: Solve for x
    x = 30,001,763,326.76/255,707.33
  6. Step 6: Final answer
    x = 117,328.52

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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.