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Finding the Fourth Proportional to 309,574.04, 427,288.38 and 188,782

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Solution

The fourth proportional to 309,574.04, 427,288.38 and 188,782 is: 260,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,574.04 : 427,288.38 = 188,782 : x
  2. Step 2: Convert to fraction form
    309,574.04/427,288.38 = 188,782/x
  3. Step 3: Cross multiply
    309,574.04x = 427,288.38 × 188,782
  4. Step 4: Simplify right side
    309,574.04x = 80,664,354,953.16
  5. Step 5: Solve for x
    x = 80,664,354,953.16/309,574.04
  6. Step 6: Final answer
    x = 260,565.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.