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Finding the Fourth Proportional to 493,657, 740,485.50 and 119,680

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Solution

The fourth proportional to 493,657, 740,485.50 and 119,680 is: 179,520

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,657 : 740,485.50 = 119,680 : x
  2. Step 2: Convert to fraction form
    493,657/740,485.50 = 119,680/x
  3. Step 3: Cross multiply
    493,657x = 740,485.50 × 119,680
  4. Step 4: Simplify right side
    493,657x = 88,621,304,640
  5. Step 5: Solve for x
    x = 88,621,304,640/493,657
  6. Step 6: Final answer
    x = 179,520

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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.