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Finding the Fourth Proportional to 507,051.10, 699,510.87 and 305,735.26

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Solution

The fourth proportional to 507,051.10, 699,510.87 and 305,735.26 is: 421,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,051.10 : 699,510.87 = 305,735.26 : x
  2. Step 2: Convert to fraction form
    507,051.10/699,510.87 = 305,735.26/x
  3. Step 3: Cross multiply
    507,051.10x = 699,510.87 × 305,735.26
  4. Step 4: Simplify right side
    507,051.10x = 213,865,137,712.28
  5. Step 5: Solve for x
    x = 213,865,137,712.28/507,051.10
  6. Step 6: Final answer
    x = 421,782.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.