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Finding the Fourth Proportional to 256,648.20, 384,389.10 and 162,169.80

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Solution

The fourth proportional to 256,648.20, 384,389.10 and 162,169.80 is: 242,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,648.20 : 384,389.10 = 162,169.80 : x
  2. Step 2: Convert to fraction form
    256,648.20/384,389.10 = 162,169.80/x
  3. Step 3: Cross multiply
    256,648.20x = 384,389.10 × 162,169.80
  4. Step 4: Simplify right side
    256,648.20x = 62,336,303,469.18
  5. Step 5: Solve for x
    x = 62,336,303,469.18/256,648.20
  6. Step 6: Final answer
    x = 242,886.19

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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.