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Finding the Fourth Proportional to 485,673.78, 728,353.01 and 161,374.78

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Solution

The fourth proportional to 485,673.78, 728,353.01 and 161,374.78 is: 242,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,673.78 : 728,353.01 = 161,374.78 : x
  2. Step 2: Convert to fraction form
    485,673.78/728,353.01 = 161,374.78/x
  3. Step 3: Cross multiply
    485,673.78x = 728,353.01 × 161,374.78
  4. Step 4: Simplify right side
    485,673.78x = 117,537,806,751.09
  5. Step 5: Solve for x
    x = 117,537,806,751.09/485,673.78
  6. Step 6: Final answer
    x = 242,009.78

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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.