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Finding the Fourth Proportional to 625,477,142.96, 863,146,976.82 and 347,012,687.84

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Solution

The fourth proportional to 625,477,142.96, 863,146,976.82 and 347,012,687.84 is: 478,871,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,477,142.96 : 863,146,976.82 = 347,012,687.84 : x
  2. Step 2: Convert to fraction form
    625,477,142.96/863,146,976.82 = 347,012,687.84/x
  3. Step 3: Cross multiply
    625,477,142.96x = 863,146,976.82 × 347,012,687.84
  4. Step 4: Simplify right side
    625,477,142.96x = 299,522,952,427,278,400
  5. Step 5: Solve for x
    x = 299,522,952,427,278,400/625,477,142.96
  6. Step 6: Final answer
    x = 478,871,139.89

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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.