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Finding the Fourth Proportional to 256,013.40, 384,020.10 and 162,586.20

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Solution

The fourth proportional to 256,013.40, 384,020.10 and 162,586.20 is: 243,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,013.40 : 384,020.10 = 162,586.20 : x
  2. Step 2: Convert to fraction form
    256,013.40/384,020.10 = 162,586.20/x
  3. Step 3: Cross multiply
    256,013.40x = 384,020.10 × 162,586.20
  4. Step 4: Simplify right side
    256,013.40x = 62,436,368,782.62
  5. Step 5: Solve for x
    x = 62,436,368,782.62/256,013.40
  6. Step 6: Final answer
    x = 243,879.30

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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.