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Finding the Fourth Proportional to 281,414.53, 388,352.68 and 152,354.36

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Solution

The fourth proportional to 281,414.53, 388,352.68 and 152,354.36 is: 210,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,414.53 : 388,352.68 = 152,354.36 : x
  2. Step 2: Convert to fraction form
    281,414.53/388,352.68 = 152,354.36/x
  3. Step 3: Cross multiply
    281,414.53x = 388,352.68 × 152,354.36
  4. Step 4: Simplify right side
    281,414.53x = 59,167,226,043.45
  5. Step 5: Solve for x
    x = 59,167,226,043.45/281,414.53
  6. Step 6: Final answer
    x = 210,249.36

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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.