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Finding the Fourth Proportional to 305,115.69, 457,505.86 and 242,337.86

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Solution

The fourth proportional to 305,115.69, 457,505.86 and 242,337.86 is: 363,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,115.69 : 457,505.86 = 242,337.86 : x
  2. Step 2: Convert to fraction form
    305,115.69/457,505.86 = 242,337.86/x
  3. Step 3: Cross multiply
    305,115.69x = 457,505.86 × 242,337.86
  4. Step 4: Simplify right side
    305,115.69x = 110,870,991,049.86
  5. Step 5: Solve for x
    x = 110,870,991,049.86/305,115.69
  6. Step 6: Final answer
    x = 363,373.61

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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.