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Finding the Fourth Proportional to 505,501.42, 758,041.32 and 205,778.56

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Solution

The fourth proportional to 505,501.42, 758,041.32 and 205,778.56 is: 308,582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,501.42 : 758,041.32 = 205,778.56 : x
  2. Step 2: Convert to fraction form
    505,501.42/758,041.32 = 205,778.56/x
  3. Step 3: Cross multiply
    505,501.42x = 758,041.32 × 205,778.56
  4. Step 4: Simplify right side
    505,501.42x = 155,988,651,250.10
  5. Step 5: Solve for x
    x = 155,988,651,250.10/505,501.42
  6. Step 6: Final answer
    x = 308,582.02

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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.