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Finding the Fourth Proportional to 618,106.33, 927,264.16 and 213,188.59

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Solution

The fourth proportional to 618,106.33, 927,264.16 and 213,188.59 is: 319,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,106.33 : 927,264.16 = 213,188.59 : x
  2. Step 2: Convert to fraction form
    618,106.33/927,264.16 = 213,188.59/x
  3. Step 3: Cross multiply
    618,106.33x = 927,264.16 × 213,188.59
  4. Step 4: Simplify right side
    618,106.33x = 197,682,134,191.61
  5. Step 5: Solve for x
    x = 197,682,134,191.61/618,106.33
  6. Step 6: Final answer
    x = 319,818.98

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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.