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Finding the Fourth Proportional to 281,438.93, 388,388.84 and 152,380.22

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Solution

The fourth proportional to 281,438.93, 388,388.84 and 152,380.22 is: 210,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,438.93 : 388,388.84 = 152,380.22 : x
  2. Step 2: Convert to fraction form
    281,438.93/388,388.84 = 152,380.22/x
  3. Step 3: Cross multiply
    281,438.93x = 388,388.84 × 152,380.22
  4. Step 4: Simplify right side
    281,438.93x = 59,182,774,180.90
  5. Step 5: Solve for x
    x = 59,182,774,180.90/281,438.93
  6. Step 6: Final answer
    x = 210,286.38

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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.