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Finding the Fourth Proportional to 360,849, 497,978.88 and 199,699.92

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Solution

The fourth proportional to 360,849, 497,978.88 and 199,699.92 is: 275,589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,849 : 497,978.88 = 199,699.92 : x
  2. Step 2: Convert to fraction form
    360,849/497,978.88 = 199,699.92/x
  3. Step 3: Cross multiply
    360,849x = 497,978.88 × 199,699.92
  4. Step 4: Simplify right side
    360,849x = 99,446,342,497.69
  5. Step 5: Solve for x
    x = 99,446,342,497.69/360,849
  6. Step 6: Final answer
    x = 275,589.91

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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.