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Finding the Fourth Proportional to 429,954.50, 645,190.95 and 149,668.58

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Solution

The fourth proportional to 429,954.50, 645,190.95 and 149,668.58 is: 224,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,954.50 : 645,190.95 = 149,668.58 : x
  2. Step 2: Convert to fraction form
    429,954.50/645,190.95 = 149,668.58/x
  3. Step 3: Cross multiply
    429,954.50x = 645,190.95 × 149,668.58
  4. Step 4: Simplify right side
    429,954.50x = 96,564,810,089.40
  5. Step 5: Solve for x
    x = 96,564,810,089.40/429,954.50
  6. Step 6: Final answer
    x = 224,593.09

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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.