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Finding the Fourth Proportional to 625,477,143.96, 863,146,978.20 and 347,012,688.84

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Solution

The fourth proportional to 625,477,143.96, 863,146,978.20 and 347,012,688.84 is: 478,871,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,477,143.96 : 863,146,978.20 = 347,012,688.84 : x
  2. Step 2: Convert to fraction form
    625,477,143.96/863,146,978.20 = 347,012,688.84/x
  3. Step 3: Cross multiply
    625,477,143.96x = 863,146,978.20 × 347,012,688.84
  4. Step 4: Simplify right side
    625,477,143.96x = 299,522,953,769,302,848
  5. Step 5: Solve for x
    x = 299,522,953,769,302,848/625,477,143.96
  6. Step 6: Final answer
    x = 478,871,141.27

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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.