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Finding the Fourth Proportional to 323,907.80, 485,715.90 and 146,323.40

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Solution

The fourth proportional to 323,907.80, 485,715.90 and 146,323.40 is: 219,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,907.80 : 485,715.90 = 146,323.40 : x
  2. Step 2: Convert to fraction form
    323,907.80/485,715.90 = 146,323.40/x
  3. Step 3: Cross multiply
    323,907.80x = 485,715.90 × 146,323.40
  4. Step 4: Simplify right side
    323,907.80x = 71,071,601,922.06
  5. Step 5: Solve for x
    x = 71,071,601,922.06/323,907.80
  6. Step 6: Final answer
    x = 219,419.24

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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.