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Finding the Fourth Proportional to 256,744.63, 385,116.99 and 96,777.22

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Solution

The fourth proportional to 256,744.63, 385,116.99 and 96,777.22 is: 145,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,744.63 : 385,116.99 = 96,777.22 : x
  2. Step 2: Convert to fraction form
    256,744.63/385,116.99 = 96,777.22/x
  3. Step 3: Cross multiply
    256,744.63x = 385,116.99 × 96,777.22
  4. Step 4: Simplify right side
    256,744.63x = 37,270,551,666.97
  5. Step 5: Solve for x
    x = 37,270,551,666.97/256,744.63
  6. Step 6: Final answer
    x = 145,165.85

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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.