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Finding the Fourth Proportional to 505,606.18, 758,223.24 and 205,924

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Solution

The fourth proportional to 505,606.18, 758,223.24 and 205,924 is: 308,810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,606.18 : 758,223.24 = 205,924 : x
  2. Step 2: Convert to fraction form
    505,606.18/758,223.24 = 205,924/x
  3. Step 3: Cross multiply
    505,606.18x = 758,223.24 × 205,924
  4. Step 4: Simplify right side
    505,606.18x = 156,136,362,473.76
  5. Step 5: Solve for x
    x = 156,136,362,473.76/505,606.18
  6. Step 6: Final answer
    x = 308,810.23

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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.