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Finding the Fourth Proportional to 298,921,173.66, 447,781,496.49 and 148,903,797.42

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Solution

The fourth proportional to 298,921,173.66, 447,781,496.49 and 148,903,797.42 is: 223,056,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,921,173.66 : 447,781,496.49 = 148,903,797.42 : x
  2. Step 2: Convert to fraction form
    298,921,173.66/447,781,496.49 = 148,903,797.42/x
  3. Step 3: Cross multiply
    298,921,173.66x = 447,781,496.49 × 148,903,797.42
  4. Step 4: Simplify right side
    298,921,173.66x = 66,676,365,241,771,400
  5. Step 5: Solve for x
    x = 66,676,365,241,771,400/298,921,173.66
  6. Step 6: Final answer
    x = 223,056,682.22

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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.