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Finding the Fourth Proportional to 430,841, 646,348.98 and 181,523

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Solution

The fourth proportional to 430,841, 646,348.98 and 181,523 is: 272,321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,841 : 646,348.98 = 181,523 : x
  2. Step 2: Convert to fraction form
    430,841/646,348.98 = 181,523/x
  3. Step 3: Cross multiply
    430,841x = 646,348.98 × 181,523
  4. Step 4: Simplify right side
    430,841x = 117,327,205,896.54
  5. Step 5: Solve for x
    x = 117,327,205,896.54/430,841
  6. Step 6: Final answer
    x = 272,321.36

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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.