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Finding the Fourth Proportional to 386,139.35, 532,872.30 and 214,056.88

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Solution

The fourth proportional to 386,139.35, 532,872.30 and 214,056.88 is: 295,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,139.35 : 532,872.30 = 214,056.88 : x
  2. Step 2: Convert to fraction form
    386,139.35/532,872.30 = 214,056.88/x
  3. Step 3: Cross multiply
    386,139.35x = 532,872.30 × 214,056.88
  4. Step 4: Simplify right side
    386,139.35x = 114,064,979,640.85
  5. Step 5: Solve for x
    x = 114,064,979,640.85/386,139.35
  6. Step 6: Final answer
    x = 295,398.48

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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.