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Finding the Fourth Proportional to 295,827,728.40, 408,227,327.52 and 161,862,745.20

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Solution

The fourth proportional to 295,827,728.40, 408,227,327.52 and 161,862,745.20 is: 223,362,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,827,728.40 : 408,227,327.52 = 161,862,745.20 : x
  2. Step 2: Convert to fraction form
    295,827,728.40/408,227,327.52 = 161,862,745.20/x
  3. Step 3: Cross multiply
    295,827,728.40x = 408,227,327.52 × 161,862,745.20
  4. Step 4: Simplify right side
    295,827,728.40x = 66,076,795,898,046,696
  5. Step 5: Solve for x
    x = 66,076,795,898,046,696/295,827,728.40
  6. Step 6: Final answer
    x = 223,362,415.20

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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.