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Finding the Fourth Proportional to 491,664, 737,782.80 and 207,336.96

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Solution

The fourth proportional to 491,664, 737,782.80 and 207,336.96 is: 311,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,664 : 737,782.80 = 207,336.96 : x
  2. Step 2: Convert to fraction form
    491,664/737,782.80 = 207,336.96/x
  3. Step 3: Cross multiply
    491,664x = 737,782.80 × 207,336.96
  4. Step 4: Simplify right side
    491,664x = 152,969,642,892.29
  5. Step 5: Solve for x
    x = 152,969,642,892.29/491,664
  6. Step 6: Final answer
    x = 311,126.38

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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.