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Finding the Fourth Proportional to 323,955, 486,010.44 and 102,339

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Solution

The fourth proportional to 323,955, 486,010.44 and 102,339 is: 153,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,955 : 486,010.44 = 102,339 : x
  2. Step 2: Convert to fraction form
    323,955/486,010.44 = 102,339/x
  3. Step 3: Cross multiply
    323,955x = 486,010.44 × 102,339
  4. Step 4: Simplify right side
    323,955x = 49,737,822,419.16
  5. Step 5: Solve for x
    x = 49,737,822,419.16/323,955
  6. Step 6: Final answer
    x = 153,533.12

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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.