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Finding the Fourth Proportional to 431,289.59, 646,628.20 and 164,825.51

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Solution

The fourth proportional to 431,289.59, 646,628.20 and 164,825.51 is: 247,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,289.59 : 646,628.20 = 164,825.51 : x
  2. Step 2: Convert to fraction form
    431,289.59/646,628.20 = 164,825.51/x
  3. Step 3: Cross multiply
    431,289.59x = 646,628.20 × 164,825.51
  4. Step 4: Simplify right side
    431,289.59x = 106,580,819,200.18
  5. Step 5: Solve for x
    x = 106,580,819,200.18/431,289.59
  6. Step 6: Final answer
    x = 247,121.24

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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.