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Finding the Fourth Proportional to 305,114.69, 457,504.37 and 242,336.86

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Solution

The fourth proportional to 305,114.69, 457,504.37 and 242,336.86 is: 363,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,114.69 : 457,504.37 = 242,336.86 : x
  2. Step 2: Convert to fraction form
    305,114.69/457,504.37 = 242,336.86/x
  3. Step 3: Cross multiply
    305,114.69x = 457,504.37 × 242,336.86
  4. Step 4: Simplify right side
    305,114.69x = 110,870,170,106.63
  5. Step 5: Solve for x
    x = 110,870,170,106.63/305,114.69
  6. Step 6: Final answer
    x = 363,372.11

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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.