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Finding the Fourth Proportional to 505,530.88, 758,294.16 and 205,944.64

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Solution

The fourth proportional to 505,530.88, 758,294.16 and 205,944.64 is: 308,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,530.88 : 758,294.16 = 205,944.64 : x
  2. Step 2: Convert to fraction form
    505,530.88/758,294.16 = 205,944.64/x
  3. Step 3: Cross multiply
    505,530.88x = 758,294.16 × 205,944.64
  4. Step 4: Simplify right side
    505,530.88x = 156,166,617,795.30
  5. Step 5: Solve for x
    x = 156,166,617,795.30/505,530.88
  6. Step 6: Final answer
    x = 308,916.08

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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.