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Finding the Fourth Proportional to 360,916, 498,051.60 and 199,778.08

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Solution

The fourth proportional to 360,916, 498,051.60 and 199,778.08 is: 275,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,916 : 498,051.60 = 199,778.08 : x
  2. Step 2: Convert to fraction form
    360,916/498,051.60 = 199,778.08/x
  3. Step 3: Cross multiply
    360,916x = 498,051.60 × 199,778.08
  4. Step 4: Simplify right side
    360,916x = 99,499,792,388.93
  5. Step 5: Solve for x
    x = 99,499,792,388.93/360,916
  6. Step 6: Final answer
    x = 275,686.84

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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.