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Finding the Fourth Proportional to 256,015.42, 384,019.18 and 113,823.36

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Solution

The fourth proportional to 256,015.42, 384,019.18 and 113,823.36 is: 170,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,015.42 : 384,019.18 = 113,823.36 : x
  2. Step 2: Convert to fraction form
    256,015.42/384,019.18 = 113,823.36/x
  3. Step 3: Cross multiply
    256,015.42x = 384,019.18 × 113,823.36
  4. Step 4: Simplify right side
    256,015.42x = 43,710,353,087.49
  5. Step 5: Solve for x
    x = 43,710,353,087.49/256,015.42
  6. Step 6: Final answer
    x = 170,733.28

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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.