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Finding the Fourth Proportional to 256,559.40, 384,772.14 and 76,602.78

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Solution

The fourth proportional to 256,559.40, 384,772.14 and 76,602.78 is: 114,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,559.40 : 384,772.14 = 76,602.78 : x
  2. Step 2: Convert to fraction form
    256,559.40/384,772.14 = 76,602.78/x
  3. Step 3: Cross multiply
    256,559.40x = 384,772.14 × 76,602.78
  4. Step 4: Simplify right side
    256,559.40x = 29,474,615,590.55
  5. Step 5: Solve for x
    x = 29,474,615,590.55/256,559.40
  6. Step 6: Final answer
    x = 114,884.18

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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.