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Finding the Fourth Proportional to 256,495.32, 353,962.80 and 143,318.16

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Solution

The fourth proportional to 256,495.32, 353,962.80 and 143,318.16 is: 197,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,495.32 : 353,962.80 = 143,318.16 : x
  2. Step 2: Convert to fraction form
    256,495.32/353,962.80 = 143,318.16/x
  3. Step 3: Cross multiply
    256,495.32x = 353,962.80 × 143,318.16
  4. Step 4: Simplify right side
    256,495.32x = 50,729,297,204.45
  5. Step 5: Solve for x
    x = 50,729,297,204.45/256,495.32
  6. Step 6: Final answer
    x = 197,778.65

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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.