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Finding the Fourth Proportional to 668,713.50, 1,003,232.31 and 384,585.90

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Solution

The fourth proportional to 668,713.50, 1,003,232.31 and 384,585.90 is: 576,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,713.50 : 1,003,232.31 = 384,585.90 : x
  2. Step 2: Convert to fraction form
    668,713.50/1,003,232.31 = 384,585.90/x
  3. Step 3: Cross multiply
    668,713.50x = 1,003,232.31 × 384,585.90
  4. Step 4: Simplify right side
    668,713.50x = 385,829,000,850.43
  5. Step 5: Solve for x
    x = 385,829,000,850.43/668,713.50
  6. Step 6: Final answer
    x = 576,972.05

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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.