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Finding the Fourth Proportional to 256,616.16, 354,154.80 and 149,176.80

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Solution

The fourth proportional to 256,616.16, 354,154.80 and 149,176.80 is: 205,878.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,616.16 : 354,154.80 = 149,176.80 : x
  2. Step 2: Convert to fraction form
    256,616.16/354,154.80 = 149,176.80/x
  3. Step 3: Cross multiply
    256,616.16x = 354,154.80 × 149,176.80
  4. Step 4: Simplify right side
    256,616.16x = 52,831,679,768.64
  5. Step 5: Solve for x
    x = 52,831,679,768.64/256,616.16
  6. Step 6: Final answer
    x = 205,878.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.