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Finding the Fourth Proportional to 256,176.40, 384,264.60 and 254,426.80

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Solution

The fourth proportional to 256,176.40, 384,264.60 and 254,426.80 is: 381,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,176.40 : 384,264.60 = 254,426.80 : x
  2. Step 2: Convert to fraction form
    256,176.40/384,264.60 = 254,426.80/x
  3. Step 3: Cross multiply
    256,176.40x = 384,264.60 × 254,426.80
  4. Step 4: Simplify right side
    256,176.40x = 97,767,212,531.28
  5. Step 5: Solve for x
    x = 97,767,212,531.28/256,176.40
  6. Step 6: Final answer
    x = 381,640.20

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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.