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Finding the Fourth Proportional to 491,689.36, 737,820.81 and 207,362.38

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Solution

The fourth proportional to 491,689.36, 737,820.81 and 207,362.38 is: 311,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,689.36 : 737,820.81 = 207,362.38 : x
  2. Step 2: Convert to fraction form
    491,689.36/737,820.81 = 207,362.38/x
  3. Step 3: Cross multiply
    491,689.36x = 737,820.81 × 207,362.38
  4. Step 4: Simplify right side
    491,689.36x = 152,996,279,175.13
  5. Step 5: Solve for x
    x = 152,996,279,175.13/491,689.36
  6. Step 6: Final answer
    x = 311,164.51

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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.