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Finding the Fourth Proportional to 256,164.48, 384,246.12 and 142,384.60

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Solution

The fourth proportional to 256,164.48, 384,246.12 and 142,384.60 is: 213,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,164.48 : 384,246.12 = 142,384.60 : x
  2. Step 2: Convert to fraction form
    256,164.48/384,246.12 = 142,384.60/x
  3. Step 3: Cross multiply
    256,164.48x = 384,246.12 × 142,384.60
  4. Step 4: Simplify right side
    256,164.48x = 54,710,730,097.75
  5. Step 5: Solve for x
    x = 54,710,730,097.75/256,164.48
  6. Step 6: Final answer
    x = 213,576.57

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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.