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Finding the Fourth Proportional to 431,606.96, 642,708.10 and 426,889.52

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Solution

The fourth proportional to 431,606.96, 642,708.10 and 426,889.52 is: 635,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,606.96 : 642,708.10 = 426,889.52 : x
  2. Step 2: Convert to fraction form
    431,606.96/642,708.10 = 426,889.52/x
  3. Step 3: Cross multiply
    431,606.96x = 642,708.10 × 426,889.52
  4. Step 4: Simplify right side
    431,606.96x = 274,365,352,309.11
  5. Step 5: Solve for x
    x = 274,365,352,309.11/431,606.96
  6. Step 6: Final answer
    x = 635,683.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.