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Finding the Fourth Proportional to 255,708.29, 383,500.82 and 78,216.83

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Solution

The fourth proportional to 255,708.29, 383,500.82 and 78,216.83 is: 117,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,708.29 : 383,500.82 = 78,216.83 : x
  2. Step 2: Convert to fraction form
    255,708.29/383,500.82 = 78,216.83/x
  3. Step 3: Cross multiply
    255,708.29x = 383,500.82 × 78,216.83
  4. Step 4: Simplify right side
    255,708.29x = 29,996,216,134.21
  5. Step 5: Solve for x
    x = 29,996,216,134.21/255,708.29
  6. Step 6: Final answer
    x = 117,306.39

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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.