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Finding the Fourth Proportional to 290,265.30, 434,413.80 and 254,835.90

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Solution

The fourth proportional to 290,265.30, 434,413.80 and 254,835.90 is: 381,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,265.30 : 434,413.80 = 254,835.90 : x
  2. Step 2: Convert to fraction form
    290,265.30/434,413.80 = 254,835.90/x
  3. Step 3: Cross multiply
    290,265.30x = 434,413.80 × 254,835.90
  4. Step 4: Simplify right side
    290,265.30x = 110,704,231,695.42
  5. Step 5: Solve for x
    x = 110,704,231,695.42/290,265.30
  6. Step 6: Final answer
    x = 381,389.82

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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.