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Finding the Fourth Proportional to 392,848.58, 542,131.13 and 214,000.58

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Solution

The fourth proportional to 392,848.58, 542,131.13 and 214,000.58 is: 295,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,848.58 : 542,131.13 = 214,000.58 : x
  2. Step 2: Convert to fraction form
    392,848.58/542,131.13 = 214,000.58/x
  3. Step 3: Cross multiply
    392,848.58x = 542,131.13 × 214,000.58
  4. Step 4: Simplify right side
    392,848.58x = 116,016,376,256.06
  5. Step 5: Solve for x
    x = 116,016,376,256.06/392,848.58
  6. Step 6: Final answer
    x = 295,320.85

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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.