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Finding the Fourth Proportional to 428,210, 590,882.08 and 237,175.60

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Solution

The fourth proportional to 428,210, 590,882.08 and 237,175.60 is: 327,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,210 : 590,882.08 = 237,175.60 : x
  2. Step 2: Convert to fraction form
    428,210/590,882.08 = 237,175.60/x
  3. Step 3: Cross multiply
    428,210x = 590,882.08 × 237,175.60
  4. Step 4: Simplify right side
    428,210x = 140,142,811,853.25
  5. Step 5: Solve for x
    x = 140,142,811,853.25/428,210
  6. Step 6: Final answer
    x = 327,275.90

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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.