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Finding the Fourth Proportional to 300,478.43, 450,753.24 and 188,167.93

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Solution

The fourth proportional to 300,478.43, 450,753.24 and 188,167.93 is: 282,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,478.43 : 450,753.24 = 188,167.93 : x
  2. Step 2: Convert to fraction form
    300,478.43/450,753.24 = 188,167.93/x
  3. Step 3: Cross multiply
    300,478.43x = 450,753.24 × 188,167.93
  4. Step 4: Simplify right side
    300,478.43x = 84,817,303,477.06
  5. Step 5: Solve for x
    x = 84,817,303,477.06/300,478.43
  6. Step 6: Final answer
    x = 282,274.18

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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.