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Finding the Fourth Proportional to 255,345.93, 383,018.49 and 254,976.57

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Solution

The fourth proportional to 255,345.93, 383,018.49 and 254,976.57 is: 382,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,345.93 : 383,018.49 = 254,976.57 : x
  2. Step 2: Convert to fraction form
    255,345.93/383,018.49 = 254,976.57/x
  3. Step 3: Cross multiply
    255,345.93x = 383,018.49 × 254,976.57
  4. Step 4: Simplify right side
    255,345.93x = 97,660,740,826.78
  5. Step 5: Solve for x
    x = 97,660,740,826.78/255,345.93
  6. Step 6: Final answer
    x = 382,464.45

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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.