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Finding the Fourth Proportional to 300,534.16, 450,845.16 and 90,188.68

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Solution

The fourth proportional to 300,534.16, 450,845.16 and 90,188.68 is: 135,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,534.16 : 450,845.16 = 90,188.68 : x
  2. Step 2: Convert to fraction form
    300,534.16/450,845.16 = 90,188.68/x
  3. Step 3: Cross multiply
    300,534.16x = 450,845.16 × 90,188.68
  4. Step 4: Simplify right side
    300,534.16x = 40,661,129,864.79
  5. Step 5: Solve for x
    x = 40,661,129,864.79/300,534.16
  6. Step 6: Final answer
    x = 135,296.20

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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.