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Finding the Fourth Proportional to 255,996.76, 384,000.64 and 78,499.84

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Solution

The fourth proportional to 255,996.76, 384,000.64 and 78,499.84 is: 117,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,996.76 : 384,000.64 = 78,499.84 : x
  2. Step 2: Convert to fraction form
    255,996.76/384,000.64 = 78,499.84/x
  3. Step 3: Cross multiply
    255,996.76x = 384,000.64 × 78,499.84
  4. Step 4: Simplify right side
    255,996.76x = 30,143,988,799.90
  5. Step 5: Solve for x
    x = 30,143,988,799.90/255,996.76
  6. Step 6: Final answer
    x = 117,751.45

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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.