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Finding the Fourth Proportional to 431,974.40, 648,001.92 and 162,030.56

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Solution

The fourth proportional to 431,974.40, 648,001.92 and 162,030.56 is: 243,060.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,974.40 : 648,001.92 = 162,030.56 : x
  2. Step 2: Convert to fraction form
    431,974.40/648,001.92 = 162,030.56/x
  3. Step 3: Cross multiply
    431,974.40x = 648,001.92 × 162,030.56
  4. Step 4: Simplify right side
    431,974.40x = 104,996,113,978.68
  5. Step 5: Solve for x
    x = 104,996,113,978.68/431,974.40
  6. Step 6: Final answer
    x = 243,060.96

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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.