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Finding the Fourth Proportional to 409,932.98, 615,086.30 and 210,393.49

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Solution

The fourth proportional to 409,932.98, 615,086.30 and 210,393.49 is: 315,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,932.98 : 615,086.30 = 210,393.49 : x
  2. Step 2: Convert to fraction form
    409,932.98/615,086.30 = 210,393.49/x
  3. Step 3: Cross multiply
    409,932.98x = 615,086.30 × 210,393.49
  4. Step 4: Simplify right side
    409,932.98x = 129,410,153,308.19
  5. Step 5: Solve for x
    x = 129,410,153,308.19/409,932.98
  6. Step 6: Final answer
    x = 315,686.13

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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.