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Finding the Fourth Proportional to 255,716.90, 383,704.91 and 170,386.08

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Solution

The fourth proportional to 255,716.90, 383,704.91 and 170,386.08 is: 255,665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,716.90 : 383,704.91 = 170,386.08 : x
  2. Step 2: Convert to fraction form
    255,716.90/383,704.91 = 170,386.08/x
  3. Step 3: Cross multiply
    255,716.90x = 383,704.91 × 170,386.08
  4. Step 4: Simplify right side
    255,716.90x = 65,377,975,491.65
  5. Step 5: Solve for x
    x = 65,377,975,491.65/255,716.90
  6. Step 6: Final answer
    x = 255,665.45

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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.