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Finding the Fourth Proportional to 429,761.79, 644,333.91 and 201,928.94

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Solution

The fourth proportional to 429,761.79, 644,333.91 and 201,928.94 is: 302,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,761.79 : 644,333.91 = 201,928.94 : x
  2. Step 2: Convert to fraction form
    429,761.79/644,333.91 = 201,928.94/x
  3. Step 3: Cross multiply
    429,761.79x = 644,333.91 × 201,928.94
  4. Step 4: Simplify right side
    429,761.79x = 130,109,660,230.69
  5. Step 5: Solve for x
    x = 130,109,660,230.69/429,761.79
  6. Step 6: Final answer
    x = 302,748.32

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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.