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Finding the Fourth Proportional to 618,100.19, 927,254.97 and 213,182.46

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Solution

The fourth proportional to 618,100.19, 927,254.97 and 213,182.46 is: 319,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,100.19 : 927,254.97 = 213,182.46 : x
  2. Step 2: Convert to fraction form
    618,100.19/927,254.97 = 213,182.46/x
  3. Step 3: Cross multiply
    618,100.19x = 927,254.97 × 213,182.46
  4. Step 4: Simplify right side
    618,100.19x = 197,674,492,344.35
  5. Step 5: Solve for x
    x = 197,674,492,344.35/618,100.19
  6. Step 6: Final answer
    x = 319,809.79

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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.