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Finding the Fourth Proportional to 255,869.82, 383,862.24 and 78,364.80

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Solution

The fourth proportional to 255,869.82, 383,862.24 and 78,364.80 is: 117,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,869.82 : 383,862.24 = 78,364.80 : x
  2. Step 2: Convert to fraction form
    255,869.82/383,862.24 = 78,364.80/x
  3. Step 3: Cross multiply
    255,869.82x = 383,862.24 × 78,364.80
  4. Step 4: Simplify right side
    255,869.82x = 30,081,287,665.15
  5. Step 5: Solve for x
    x = 30,081,287,665.15/255,869.82
  6. Step 6: Final answer
    x = 117,564.81

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1.5x scale

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.