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Finding the Fourth Proportional to 493,153.80, 739,730.70 and 282,618.60

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Solution

The fourth proportional to 493,153.80, 739,730.70 and 282,618.60 is: 423,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,153.80 : 739,730.70 = 282,618.60 : x
  2. Step 2: Convert to fraction form
    493,153.80/739,730.70 = 282,618.60/x
  3. Step 3: Cross multiply
    493,153.80x = 739,730.70 × 282,618.60
  4. Step 4: Simplify right side
    493,153.80x = 209,061,654,811.02
  5. Step 5: Solve for x
    x = 209,061,654,811.02/493,153.80
  6. Step 6: Final answer
    x = 423,927.90

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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.