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Finding the Fourth Proportional to 308,742.84, 463,049.46 and 87,075

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Solution

The fourth proportional to 308,742.84, 463,049.46 and 87,075 is: 130,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,742.84 : 463,049.46 = 87,075 : x
  2. Step 2: Convert to fraction form
    308,742.84/463,049.46 = 87,075/x
  3. Step 3: Cross multiply
    308,742.84x = 463,049.46 × 87,075
  4. Step 4: Simplify right side
    308,742.84x = 40,320,031,729.50
  5. Step 5: Solve for x
    x = 40,320,031,729.50/308,742.84
  6. Step 6: Final answer
    x = 130,594.22

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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.