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Finding the Fourth Proportional to 289,648.71, 434,413.66 and 109,672.05

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Solution

The fourth proportional to 289,648.71, 434,413.66 and 109,672.05 is: 164,485.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,648.71 : 434,413.66 = 109,672.05 : x
  2. Step 2: Convert to fraction form
    289,648.71/434,413.66 = 109,672.05/x
  3. Step 3: Cross multiply
    289,648.71x = 434,413.66 × 109,672.05
  4. Step 4: Simplify right side
    289,648.71x = 47,643,036,640.20
  5. Step 5: Solve for x
    x = 47,643,036,640.20/289,648.71
  6. Step 6: Final answer
    x = 164,485.58

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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.