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Finding the Fourth Proportional to 505,158.47, 757,224.96 and 431,421.02

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Solution

The fourth proportional to 505,158.47, 757,224.96 and 431,421.02 is: 646,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,158.47 : 757,224.96 = 431,421.02 : x
  2. Step 2: Convert to fraction form
    505,158.47/757,224.96 = 431,421.02/x
  3. Step 3: Cross multiply
    505,158.47x = 757,224.96 × 431,421.02
  4. Step 4: Simplify right side
    505,158.47x = 326,682,764,612.66
  5. Step 5: Solve for x
    x = 326,682,764,612.66/505,158.47
  6. Step 6: Final answer
    x = 646,693.63

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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.