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Finding the Fourth Proportional to 281,265.42, 388,147.30 and 152,203.88

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Solution

The fourth proportional to 281,265.42, 388,147.30 and 152,203.88 is: 210,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,265.42 : 388,147.30 = 152,203.88 : x
  2. Step 2: Convert to fraction form
    281,265.42/388,147.30 = 152,203.88/x
  3. Step 3: Cross multiply
    281,265.42x = 388,147.30 × 152,203.88
  4. Step 4: Simplify right side
    281,265.42x = 59,077,523,015.17
  5. Step 5: Solve for x
    x = 59,077,523,015.17/281,265.42
  6. Step 6: Final answer
    x = 210,041.90

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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.