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Finding the Fourth Proportional to 402,890.52, 604,212 and 132,968.94

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Solution

The fourth proportional to 402,890.52, 604,212 and 132,968.94 is: 199,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,890.52 : 604,212 = 132,968.94 : x
  2. Step 2: Convert to fraction form
    402,890.52/604,212 = 132,968.94/x
  3. Step 3: Cross multiply
    402,890.52x = 604,212 × 132,968.94
  4. Step 4: Simplify right side
    402,890.52x = 80,341,429,175.28
  5. Step 5: Solve for x
    x = 80,341,429,175.28/402,890.52
  6. Step 6: Final answer
    x = 199,412.56

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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.