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Finding the Fourth Proportional to 300,209.32, 450,829.14 and 266,551.39

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Solution

The fourth proportional to 300,209.32, 450,829.14 and 266,551.39 is: 400,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,209.32 : 450,829.14 = 266,551.39 : x
  2. Step 2: Convert to fraction form
    300,209.32/450,829.14 = 266,551.39/x
  3. Step 3: Cross multiply
    300,209.32x = 450,829.14 × 266,551.39
  4. Step 4: Simplify right side
    300,209.32x = 120,169,133,919.51
  5. Step 5: Solve for x
    x = 120,169,133,919.51/300,209.32
  6. Step 6: Final answer
    x = 400,284.49

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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.