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Finding the Fourth Proportional to 431,168.96, 646,263.01 and 262,317.08

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Solution

The fourth proportional to 431,168.96, 646,263.01 and 262,317.08 is: 393,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,168.96 : 646,263.01 = 262,317.08 : x
  2. Step 2: Convert to fraction form
    431,168.96/646,263.01 = 262,317.08/x
  3. Step 3: Cross multiply
    431,168.96x = 646,263.01 × 262,317.08
  4. Step 4: Simplify right side
    431,168.96x = 169,525,826,163.23
  5. Step 5: Solve for x
    x = 169,525,826,163.23/431,168.96
  6. Step 6: Final answer
    x = 393,177.25

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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.