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Finding the Fourth Proportional to 431,749.29, 595,978.16 and 324,630.39

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Solution

The fourth proportional to 431,749.29, 595,978.16 and 324,630.39 is: 448,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,749.29 : 595,978.16 = 324,630.39 : x
  2. Step 2: Convert to fraction form
    431,749.29/595,978.16 = 324,630.39/x
  3. Step 3: Cross multiply
    431,749.29x = 595,978.16 × 324,630.39
  4. Step 4: Simplify right side
    431,749.29x = 193,472,620,889.13
  5. Step 5: Solve for x
    x = 193,472,620,889.13/431,749.29
  6. Step 6: Final answer
    x = 448,113.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.