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Finding the Fourth Proportional to 255,642.76, 383,329.83 and 113,426.44

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Solution

The fourth proportional to 255,642.76, 383,329.83 and 113,426.44 is: 170,080.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,642.76 : 383,329.83 = 113,426.44 : x
  2. Step 2: Convert to fraction form
    255,642.76/383,329.83 = 113,426.44/x
  3. Step 3: Cross multiply
    255,642.76x = 383,329.83 × 113,426.44
  4. Step 4: Simplify right side
    255,642.76x = 43,479,737,962.71
  5. Step 5: Solve for x
    x = 43,479,737,962.71/255,642.76
  6. Step 6: Final answer
    x = 170,080.07

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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.