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Finding the Fourth Proportional to 491,814.09, 737,820.58 and 207,505.34

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Solution

The fourth proportional to 491,814.09, 737,820.58 and 207,505.34 is: 311,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,814.09 : 737,820.58 = 207,505.34 : x
  2. Step 2: Convert to fraction form
    491,814.09/737,820.58 = 207,505.34/x
  3. Step 3: Cross multiply
    491,814.09x = 737,820.58 × 207,505.34
  4. Step 4: Simplify right side
    491,814.09x = 153,101,710,311.90
  5. Step 5: Solve for x
    x = 153,101,710,311.90/491,814.09
  6. Step 6: Final answer
    x = 311,299.97

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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.