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Finding the Fourth Proportional to 664,389.20, 997,021.20 and 380,079.20

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Solution

The fourth proportional to 664,389.20, 997,021.20 and 380,079.20 is: 570,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,389.20 : 997,021.20 = 380,079.20 : x
  2. Step 2: Convert to fraction form
    664,389.20/997,021.20 = 380,079.20/x
  3. Step 3: Cross multiply
    664,389.20x = 997,021.20 × 380,079.20
  4. Step 4: Simplify right side
    664,389.20x = 378,947,020,079.04
  5. Step 5: Solve for x
    x = 378,947,020,079.04/664,389.20
  6. Step 6: Final answer
    x = 570,369.02

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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.