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Finding the Fourth Proportional to 382,690.30, 574,254.15 and 146,202.70

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Solution

The fourth proportional to 382,690.30, 574,254.15 and 146,202.70 is: 219,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,690.30 : 574,254.15 = 146,202.70 : x
  2. Step 2: Convert to fraction form
    382,690.30/574,254.15 = 146,202.70/x
  3. Step 3: Cross multiply
    382,690.30x = 574,254.15 × 146,202.70
  4. Step 4: Simplify right side
    382,690.30x = 83,957,507,216.21
  5. Step 5: Solve for x
    x = 83,957,507,216.21/382,690.30
  6. Step 6: Final answer
    x = 219,387.60

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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.