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Finding the Fourth Proportional to 254,347.84, 381,524.40 and 76,856.32

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Solution

The fourth proportional to 254,347.84, 381,524.40 and 76,856.32 is: 115,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,347.84 : 381,524.40 = 76,856.32 : x
  2. Step 2: Convert to fraction form
    254,347.84/381,524.40 = 76,856.32/x
  3. Step 3: Cross multiply
    254,347.84x = 381,524.40 × 76,856.32
  4. Step 4: Simplify right side
    254,347.84x = 29,322,561,374.21
  5. Step 5: Solve for x
    x = 29,322,561,374.21/254,347.84
  6. Step 6: Final answer
    x = 115,285.28

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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.