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Finding the Fourth Proportional to 310,049.56, 427,574.46 and 202,711.60

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Solution

The fourth proportional to 310,049.56, 427,574.46 and 202,711.60 is: 279,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,049.56 : 427,574.46 = 202,711.60 : x
  2. Step 2: Convert to fraction form
    310,049.56/427,574.46 = 202,711.60/x
  3. Step 3: Cross multiply
    310,049.56x = 427,574.46 × 202,711.60
  4. Step 4: Simplify right side
    310,049.56x = 86,674,302,905.74
  5. Step 5: Solve for x
    x = 86,674,302,905.74/310,049.56
  6. Step 6: Final answer
    x = 279,549.83

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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.