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Finding the Fourth Proportional to 429,527.88, 644,241.78 and 114,009.30

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Solution

The fourth proportional to 429,527.88, 644,241.78 and 114,009.30 is: 171,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,527.88 : 644,241.78 = 114,009.30 : x
  2. Step 2: Convert to fraction form
    429,527.88/644,241.78 = 114,009.30/x
  3. Step 3: Cross multiply
    429,527.88x = 644,241.78 × 114,009.30
  4. Step 4: Simplify right side
    429,527.88x = 73,449,554,368.55
  5. Step 5: Solve for x
    x = 73,449,554,368.55/429,527.88
  6. Step 6: Final answer
    x = 171,000.67

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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.