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Finding the Fourth Proportional to 255,514.70, 383,329.65 and 78,029.90

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Solution

The fourth proportional to 255,514.70, 383,329.65 and 78,029.90 is: 117,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,514.70 : 383,329.65 = 78,029.90 : x
  2. Step 2: Convert to fraction form
    255,514.70/383,329.65 = 78,029.90/x
  3. Step 3: Cross multiply
    255,514.70x = 383,329.65 × 78,029.90
  4. Step 4: Simplify right side
    255,514.70x = 29,911,174,256.54
  5. Step 5: Solve for x
    x = 29,911,174,256.54/255,514.70
  6. Step 6: Final answer
    x = 117,062.44

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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.