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Finding the Fourth Proportional to 360,390.51, 497,375.16 and 199,257.78

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Solution

The fourth proportional to 360,390.51, 497,375.16 and 199,257.78 is: 274,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,390.51 : 497,375.16 = 199,257.78 : x
  2. Step 2: Convert to fraction form
    360,390.51/497,375.16 = 199,257.78/x
  3. Step 3: Cross multiply
    360,390.51x = 497,375.16 × 199,257.78
  4. Step 4: Simplify right side
    360,390.51x = 99,105,870,208.74
  5. Step 5: Solve for x
    x = 99,105,870,208.74/360,390.51
  6. Step 6: Final answer
    x = 274,995.78

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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.