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Finding the Fourth Proportional to 255,577.36, 383,424.36 and 78,109.60

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Solution

The fourth proportional to 255,577.36, 383,424.36 and 78,109.60 is: 117,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,577.36 : 383,424.36 = 78,109.60 : x
  2. Step 2: Convert to fraction form
    255,577.36/383,424.36 = 78,109.60/x
  3. Step 3: Cross multiply
    255,577.36x = 383,424.36 × 78,109.60
  4. Step 4: Simplify right side
    255,577.36x = 29,949,123,389.86
  5. Step 5: Solve for x
    x = 29,949,123,389.86/255,577.36
  6. Step 6: Final answer
    x = 117,182.22

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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.