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Finding the Fourth Proportional to 299,648,840.40, 449,290,783.80 and 117,677,998.80

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Solution

The fourth proportional to 299,648,840.40, 449,290,783.80 and 117,677,998.80 is: 176,445,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,648,840.40 : 449,290,783.80 = 117,677,998.80 : x
  2. Step 2: Convert to fraction form
    299,648,840.40/449,290,783.80 = 117,677,998.80/x
  3. Step 3: Cross multiply
    299,648,840.40x = 449,290,783.80 × 117,677,998.80
  4. Step 4: Simplify right side
    299,648,840.40x = 52,871,640,316,867,456
  5. Step 5: Solve for x
    x = 52,871,640,316,867,456/299,648,840.40
  6. Step 6: Final answer
    x = 176,445,335.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.