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Finding the Fourth Proportional to 281,998.85, 389,155.74 and 152,940.16

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Solution

The fourth proportional to 281,998.85, 389,155.74 and 152,940.16 is: 211,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,998.85 : 389,155.74 = 152,940.16 : x
  2. Step 2: Convert to fraction form
    281,998.85/389,155.74 = 152,940.16/x
  3. Step 3: Cross multiply
    281,998.85x = 389,155.74 × 152,940.16
  4. Step 4: Simplify right side
    281,998.85x = 59,517,539,194.74
  5. Step 5: Solve for x
    x = 59,517,539,194.74/281,998.85
  6. Step 6: Final answer
    x = 211,055.96

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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.