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Finding the Fourth Proportional to 254,907.63, 382,336.67 and 77,416.20

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Solution

The fourth proportional to 254,907.63, 382,336.67 and 77,416.20 is: 116,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,907.63 : 382,336.67 = 77,416.20 : x
  2. Step 2: Convert to fraction form
    254,907.63/382,336.67 = 77,416.20/x
  3. Step 3: Cross multiply
    254,907.63x = 382,336.67 × 77,416.20
  4. Step 4: Simplify right side
    254,907.63x = 29,599,052,305.59
  5. Step 5: Solve for x
    x = 29,599,052,305.59/254,907.63
  6. Step 6: Final answer
    x = 116,116.78

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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.