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Finding the Fourth Proportional to 305,998.40, 459,062.40 and 92,748.80

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Solution

The fourth proportional to 305,998.40, 459,062.40 and 92,748.80 is: 139,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,998.40 : 459,062.40 = 92,748.80 : x
  2. Step 2: Convert to fraction form
    305,998.40/459,062.40 = 92,748.80/x
  3. Step 3: Cross multiply
    305,998.40x = 459,062.40 × 92,748.80
  4. Step 4: Simplify right side
    305,998.40x = 42,577,486,725.12
  5. Step 5: Solve for x
    x = 42,577,486,725.12/305,998.40
  6. Step 6: Final answer
    x = 139,142.84

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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.