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Finding the Fourth Proportional to 370,489.48, 511,275.98 and 200,723.60

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Solution

The fourth proportional to 370,489.48, 511,275.98 and 200,723.60 is: 276,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,489.48 : 511,275.98 = 200,723.60 : x
  2. Step 2: Convert to fraction form
    370,489.48/511,275.98 = 200,723.60/x
  3. Step 3: Cross multiply
    370,489.48x = 511,275.98 × 200,723.60
  4. Step 4: Simplify right side
    370,489.48x = 102,625,157,079.13
  5. Step 5: Solve for x
    x = 102,625,157,079.13/370,489.48
  6. Step 6: Final answer
    x = 276,998.84

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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.