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Finding the Fourth Proportional to 507,991.80, 761,987.70 and 448,942.80

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Solution

The fourth proportional to 507,991.80, 761,987.70 and 448,942.80 is: 673,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,991.80 : 761,987.70 = 448,942.80 : x
  2. Step 2: Convert to fraction form
    507,991.80/761,987.70 = 448,942.80/x
  3. Step 3: Cross multiply
    507,991.80x = 761,987.70 × 448,942.80
  4. Step 4: Simplify right side
    507,991.80x = 342,088,891,603.56
  5. Step 5: Solve for x
    x = 342,088,891,603.56/507,991.80
  6. Step 6: Final answer
    x = 673,414.20

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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.