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Finding the Fourth Proportional to 384,647.64, 576,996.01 and 147,990.24

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Solution

The fourth proportional to 384,647.64, 576,996.01 and 147,990.24 is: 221,994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,647.64 : 576,996.01 = 147,990.24 : x
  2. Step 2: Convert to fraction form
    384,647.64/576,996.01 = 147,990.24/x
  3. Step 3: Cross multiply
    384,647.64x = 576,996.01 × 147,990.24
  4. Step 4: Simplify right side
    384,647.64x = 85,389,777,628.97
  5. Step 5: Solve for x
    x = 85,389,777,628.97/384,647.64
  6. Step 6: Final answer
    x = 221,994.81

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1.5x scale

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.