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Finding the Fourth Proportional to 256,293.28, 383,682.88 and 189,288.48

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Solution

The fourth proportional to 256,293.28, 383,682.88 and 189,288.48 is: 283,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,293.28 : 383,682.88 = 189,288.48 : x
  2. Step 2: Convert to fraction form
    256,293.28/383,682.88 = 189,288.48/x
  3. Step 3: Cross multiply
    256,293.28x = 383,682.88 × 189,288.48
  4. Step 4: Simplify right side
    256,293.28x = 72,626,749,157.22
  5. Step 5: Solve for x
    x = 72,626,749,157.22/256,293.28
  6. Step 6: Final answer
    x = 283,373.60

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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.