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Finding the Fourth Proportional to 392,961,216.65, 542,276,978.72 and 216,745,427.48

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Solution

The fourth proportional to 392,961,216.65, 542,276,978.72 and 216,745,427.48 is: 299,103,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,961,216.65 : 542,276,978.72 = 216,745,427.48 : x
  2. Step 2: Convert to fraction form
    392,961,216.65/542,276,978.72 = 216,745,427.48/x
  3. Step 3: Cross multiply
    392,961,216.65x = 542,276,978.72 × 216,745,427.48
  4. Step 4: Simplify right side
    392,961,216.65x = 117,536,055,561,434,160
  5. Step 5: Solve for x
    x = 117,536,055,561,434,160/392,961,216.65
  6. Step 6: Final answer
    x = 299,103,449.86

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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.