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Finding the Fourth Proportional to 256,059.20, 383,762.40 and 143,739.20

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Solution

The fourth proportional to 256,059.20, 383,762.40 and 143,739.20 is: 215,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,059.20 : 383,762.40 = 143,739.20 : x
  2. Step 2: Convert to fraction form
    256,059.20/383,762.40 = 143,739.20/x
  3. Step 3: Cross multiply
    256,059.20x = 383,762.40 × 143,739.20
  4. Step 4: Simplify right side
    256,059.20x = 55,161,700,366.08
  5. Step 5: Solve for x
    x = 55,161,700,366.08/256,059.20
  6. Step 6: Final answer
    x = 215,425.57

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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.