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Finding the Fourth Proportional to 428,647.88, 643,042.90 and 144,362.49

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Solution

The fourth proportional to 428,647.88, 643,042.90 and 144,362.49 is: 216,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,647.88 : 643,042.90 = 144,362.49 : x
  2. Step 2: Convert to fraction form
    428,647.88/643,042.90 = 144,362.49/x
  3. Step 3: Cross multiply
    428,647.88x = 643,042.90 × 144,362.49
  4. Step 4: Simplify right side
    428,647.88x = 92,831,271,989.86
  5. Step 5: Solve for x
    x = 92,831,271,989.86/428,647.88
  6. Step 6: Final answer
    x = 216,567.67

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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.