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Finding the Fourth Proportional to 505,395.30, 757,437.38 and 205,526.82

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Solution

The fourth proportional to 505,395.30, 757,437.38 and 205,526.82 is: 308,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,395.30 : 757,437.38 = 205,526.82 : x
  2. Step 2: Convert to fraction form
    505,395.30/757,437.38 = 205,526.82/x
  3. Step 3: Cross multiply
    505,395.30x = 757,437.38 × 205,526.82
  4. Step 4: Simplify right side
    505,395.30x = 155,673,696,060.53
  5. Step 5: Solve for x
    x = 155,673,696,060.53/505,395.30
  6. Step 6: Final answer
    x = 308,023.63

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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.