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Finding the Fourth Proportional to 402,456.10, 602,992.95 and 191,640.10

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Solution

The fourth proportional to 402,456.10, 602,992.95 and 191,640.10 is: 287,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,456.10 : 602,992.95 = 191,640.10 : x
  2. Step 2: Convert to fraction form
    402,456.10/602,992.95 = 191,640.10/x
  3. Step 3: Cross multiply
    402,456.10x = 602,992.95 × 191,640.10
  4. Step 4: Simplify right side
    402,456.10x = 115,557,629,237.30
  5. Step 5: Solve for x
    x = 115,557,629,237.30/402,456.10
  6. Step 6: Final answer
    x = 287,131.02

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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.