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Finding the Fourth Proportional to 428,212, 590,884.84 and 237,177.60

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Solution

The fourth proportional to 428,212, 590,884.84 and 237,177.60 is: 327,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,212 : 590,884.84 = 237,177.60 : x
  2. Step 2: Convert to fraction form
    428,212/590,884.84 = 237,177.60/x
  3. Step 3: Cross multiply
    428,212x = 590,884.84 × 237,177.60
  4. Step 4: Simplify right side
    428,212x = 140,144,648,227.58
  5. Step 5: Solve for x
    x = 140,144,648,227.58/428,212
  6. Step 6: Final answer
    x = 327,278.66

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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.