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Finding the Fourth Proportional to 450,398.32, 675,605.31 and 165,942.45

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Solution

The fourth proportional to 450,398.32, 675,605.31 and 165,942.45 is: 248,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,398.32 : 675,605.31 = 165,942.45 : x
  2. Step 2: Convert to fraction form
    450,398.32/675,605.31 = 165,942.45/x
  3. Step 3: Cross multiply
    450,398.32x = 675,605.31 × 165,942.45
  4. Step 4: Simplify right side
    450,398.32x = 112,111,600,374.41
  5. Step 5: Solve for x
    x = 112,111,600,374.41/450,398.32
  6. Step 6: Final answer
    x = 248,916.56

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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.