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Finding the Fourth Proportional to 305,982.80, 459,002.52 and 119,008.40

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Solution

The fourth proportional to 305,982.80, 459,002.52 and 119,008.40 is: 178,523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,982.80 : 459,002.52 = 119,008.40 : x
  2. Step 2: Convert to fraction form
    305,982.80/459,002.52 = 119,008.40/x
  3. Step 3: Cross multiply
    305,982.80x = 459,002.52 × 119,008.40
  4. Step 4: Simplify right side
    305,982.80x = 54,625,155,501.17
  5. Step 5: Solve for x
    x = 54,625,155,501.17/305,982.80
  6. Step 6: Final answer
    x = 178,523.61

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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.