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Finding the Fourth Proportional to 360,445.86, 497,394 and 199,288.26

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Solution

The fourth proportional to 360,445.86, 497,394 and 199,288.26 is: 275,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,445.86 : 497,394 = 199,288.26 : x
  2. Step 2: Convert to fraction form
    360,445.86/497,394 = 199,288.26/x
  3. Step 3: Cross multiply
    360,445.86x = 497,394 × 199,288.26
  4. Step 4: Simplify right side
    360,445.86x = 99,124,784,794.44
  5. Step 5: Solve for x
    x = 99,124,784,794.44/360,445.86
  6. Step 6: Final answer
    x = 275,006.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.