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Finding the Fourth Proportional to 431,254.37, 646,166.46 and 262,263.53

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Solution

The fourth proportional to 431,254.37, 646,166.46 and 262,263.53 is: 392,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,254.37 : 646,166.46 = 262,263.53 : x
  2. Step 2: Convert to fraction form
    431,254.37/646,166.46 = 262,263.53/x
  3. Step 3: Cross multiply
    431,254.37x = 646,166.46 × 262,263.53
  4. Step 4: Simplify right side
    431,254.37x = 169,465,896,767.20
  5. Step 5: Solve for x
    x = 169,465,896,767.20/431,254.37
  6. Step 6: Final answer
    x = 392,960.42

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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.