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Finding the Fourth Proportional to 256,343.37, 384,513.83 and 142,437.52

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Solution

The fourth proportional to 256,343.37, 384,513.83 and 142,437.52 is: 213,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,343.37 : 384,513.83 = 142,437.52 : x
  2. Step 2: Convert to fraction form
    256,343.37/384,513.83 = 142,437.52/x
  3. Step 3: Cross multiply
    256,343.37x = 384,513.83 × 142,437.52
  4. Step 4: Simplify right side
    256,343.37x = 54,769,197,454.71
  5. Step 5: Solve for x
    x = 54,769,197,454.71/256,343.37
  6. Step 6: Final answer
    x = 213,655.61

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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.