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Finding the Fourth Proportional to 323,111.68, 484,674 and 86,453.98

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Solution

The fourth proportional to 323,111.68, 484,674 and 86,453.98 is: 129,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,111.68 : 484,674 = 86,453.98 : x
  2. Step 2: Convert to fraction form
    323,111.68/484,674 = 86,453.98/x
  3. Step 3: Cross multiply
    323,111.68x = 484,674 × 86,453.98
  4. Step 4: Simplify right side
    323,111.68x = 41,901,996,302.52
  5. Step 5: Solve for x
    x = 41,901,996,302.52/323,111.68
  6. Step 6: Final answer
    x = 129,682.70

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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.