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Finding the Fourth Proportional to 431,030.70, 646,546.05 and 168,374.70

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Solution

The fourth proportional to 431,030.70, 646,546.05 and 168,374.70 is: 252,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,030.70 : 646,546.05 = 168,374.70 : x
  2. Step 2: Convert to fraction form
    431,030.70/646,546.05 = 168,374.70/x
  3. Step 3: Cross multiply
    431,030.70x = 646,546.05 × 168,374.70
  4. Step 4: Simplify right side
    431,030.70x = 108,861,997,204.94
  5. Step 5: Solve for x
    x = 108,861,997,204.94/431,030.70
  6. Step 6: Final answer
    x = 252,562.05

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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.