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Finding the Fourth Proportional to 402,481.80, 604,413.90 and 284,977.80

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Solution

The fourth proportional to 402,481.80, 604,413.90 and 284,977.80 is: 427,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,481.80 : 604,413.90 = 284,977.80 : x
  2. Step 2: Convert to fraction form
    402,481.80/604,413.90 = 284,977.80/x
  3. Step 3: Cross multiply
    402,481.80x = 604,413.90 × 284,977.80
  4. Step 4: Simplify right side
    402,481.80x = 172,244,543,511.42
  5. Step 5: Solve for x
    x = 172,244,543,511.42/402,481.80
  6. Step 6: Final answer
    x = 427,956.11

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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.