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Finding the Fourth Proportional to 256,218.80, 384,328.20 and 163,137.20

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Solution

The fourth proportional to 256,218.80, 384,328.20 and 163,137.20 is: 244,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,218.80 : 384,328.20 = 163,137.20 : x
  2. Step 2: Convert to fraction form
    256,218.80/384,328.20 = 163,137.20/x
  3. Step 3: Cross multiply
    256,218.80x = 384,328.20 × 163,137.20
  4. Step 4: Simplify right side
    256,218.80x = 62,698,226,429.04
  5. Step 5: Solve for x
    x = 62,698,226,429.04/256,218.80
  6. Step 6: Final answer
    x = 244,705.80

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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.