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Finding the Fourth Proportional to 300,762, 451,143 and 90,400.14

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Solution

The fourth proportional to 300,762, 451,143 and 90,400.14 is: 135,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,762 : 451,143 = 90,400.14 : x
  2. Step 2: Convert to fraction form
    300,762/451,143 = 90,400.14/x
  3. Step 3: Cross multiply
    300,762x = 451,143 × 90,400.14
  4. Step 4: Simplify right side
    300,762x = 40,783,390,360.02
  5. Step 5: Solve for x
    x = 40,783,390,360.02/300,762
  6. Step 6: Final answer
    x = 135,600.21

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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.