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Finding the Fourth Proportional to 505,761.06, 758,130.40 and 217,760.56

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Solution

The fourth proportional to 505,761.06, 758,130.40 and 217,760.56 is: 326,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,761.06 : 758,130.40 = 217,760.56 : x
  2. Step 2: Convert to fraction form
    505,761.06/758,130.40 = 217,760.56/x
  3. Step 3: Cross multiply
    505,761.06x = 758,130.40 × 217,760.56
  4. Step 4: Simplify right side
    505,761.06x = 165,090,900,457.02
  5. Step 5: Solve for x
    x = 165,090,900,457.02/505,761.06
  6. Step 6: Final answer
    x = 326,420.74

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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.