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Finding the Fourth Proportional to 430,145.90, 643,906.65 and 382,906.70

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Solution

The fourth proportional to 430,145.90, 643,906.65 and 382,906.70 is: 573,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,145.90 : 643,906.65 = 382,906.70 : x
  2. Step 2: Convert to fraction form
    430,145.90/643,906.65 = 382,906.70/x
  3. Step 3: Cross multiply
    430,145.90x = 643,906.65 × 382,906.70
  4. Step 4: Simplify right side
    430,145.90x = 246,556,170,459.56
  5. Step 5: Solve for x
    x = 246,556,170,459.56/430,145.90
  6. Step 6: Final answer
    x = 573,191.96

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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.