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Finding the Fourth Proportional to 505,428.98, 758,323.76 and 217,119.47

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Solution

The fourth proportional to 505,428.98, 758,323.76 and 217,119.47 is: 325,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,428.98 : 758,323.76 = 217,119.47 : x
  2. Step 2: Convert to fraction form
    505,428.98/758,323.76 = 217,119.47/x
  3. Step 3: Cross multiply
    505,428.98x = 758,323.76 × 217,119.47
  4. Step 4: Simplify right side
    505,428.98x = 164,646,847,982.39
  5. Step 5: Solve for x
    x = 164,646,847,982.39/505,428.98
  6. Step 6: Final answer
    x = 325,756.65

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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.