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Finding the Fourth Proportional to 357,991.44, 537,093.72 and 147,642

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Solution

The fourth proportional to 357,991.44, 537,093.72 and 147,642 is: 221,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,991.44 : 537,093.72 = 147,642 : x
  2. Step 2: Convert to fraction form
    357,991.44/537,093.72 = 147,642/x
  3. Step 3: Cross multiply
    357,991.44x = 537,093.72 × 147,642
  4. Step 4: Simplify right side
    357,991.44x = 79,297,591,008.24
  5. Step 5: Solve for x
    x = 79,297,591,008.24/357,991.44
  6. Step 6: Final answer
    x = 221,506.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.