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Finding the Fourth Proportional to 392,856.08, 542,141.48 and 214,008.08

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Solution

The fourth proportional to 392,856.08, 542,141.48 and 214,008.08 is: 295,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,856.08 : 542,141.48 = 214,008.08 : x
  2. Step 2: Convert to fraction form
    392,856.08/542,141.48 = 214,008.08/x
  3. Step 3: Cross multiply
    392,856.08x = 542,141.48 × 214,008.08
  4. Step 4: Simplify right side
    392,856.08x = 116,022,657,223.16
  5. Step 5: Solve for x
    x = 116,022,657,223.16/392,856.08
  6. Step 6: Final answer
    x = 295,331.20

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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.