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Finding the Fourth Proportional to 255,476.57, 383,271.14 and 77,997.47

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Solution

The fourth proportional to 255,476.57, 383,271.14 and 77,997.47 is: 117,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,476.57 : 383,271.14 = 77,997.47 : x
  2. Step 2: Convert to fraction form
    255,476.57/383,271.14 = 77,997.47/x
  3. Step 3: Cross multiply
    255,476.57x = 383,271.14 × 77,997.47
  4. Step 4: Simplify right side
    255,476.57x = 29,894,177,522.65
  5. Step 5: Solve for x
    x = 29,894,177,522.65/255,476.57
  6. Step 6: Final answer
    x = 117,013.38

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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.