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Finding the Fourth Proportional to 431,285.88, 646,967.70 and 165,035.64

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Solution

The fourth proportional to 431,285.88, 646,967.70 and 165,035.64 is: 247,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,285.88 : 646,967.70 = 165,035.64 : x
  2. Step 2: Convert to fraction form
    431,285.88/646,967.70 = 165,035.64/x
  3. Step 3: Cross multiply
    431,285.88x = 646,967.70 × 165,035.64
  4. Step 4: Simplify right side
    431,285.88x = 106,772,728,428.83
  5. Step 5: Solve for x
    x = 106,772,728,428.83/431,285.88
  6. Step 6: Final answer
    x = 247,568.34

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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.