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Finding the Fourth Proportional to 255,840.96, 383,891.04 and 172,560

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Solution

The fourth proportional to 255,840.96, 383,891.04 and 172,560 is: 258,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,840.96 : 383,891.04 = 172,560 : x
  2. Step 2: Convert to fraction form
    255,840.96/383,891.04 = 172,560/x
  3. Step 3: Cross multiply
    255,840.96x = 383,891.04 × 172,560
  4. Step 4: Simplify right side
    255,840.96x = 66,244,237,862.40
  5. Step 5: Solve for x
    x = 66,244,237,862.40/255,840.96
  6. Step 6: Final answer
    x = 258,927.41

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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.