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Finding the Fourth Proportional to 256,777.80, 385,458.30 and 138,388.20

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Solution

The fourth proportional to 256,777.80, 385,458.30 and 138,388.20 is: 207,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,777.80 : 385,458.30 = 138,388.20 : x
  2. Step 2: Convert to fraction form
    256,777.80/385,458.30 = 138,388.20/x
  3. Step 3: Cross multiply
    256,777.80x = 385,458.30 × 138,388.20
  4. Step 4: Simplify right side
    256,777.80x = 53,342,880,312.06
  5. Step 5: Solve for x
    x = 53,342,880,312.06/256,777.80
  6. Step 6: Final answer
    x = 207,739.46

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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.