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Finding the Fourth Proportional to 493,543.80, 739,805.40 and 268,428.60

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Solution

The fourth proportional to 493,543.80, 739,805.40 and 268,428.60 is: 402,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,543.80 : 739,805.40 = 268,428.60 : x
  2. Step 2: Convert to fraction form
    493,543.80/739,805.40 = 268,428.60/x
  3. Step 3: Cross multiply
    493,543.80x = 739,805.40 × 268,428.60
  4. Step 4: Simplify right side
    493,543.80x = 198,584,927,794.44
  5. Step 5: Solve for x
    x = 198,584,927,794.44/493,543.80
  6. Step 6: Final answer
    x = 402,365.36

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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.