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Finding the Fourth Proportional to 289,413.37, 399,529.28 and 203,446.04

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Solution

The fourth proportional to 289,413.37, 399,529.28 and 203,446.04 is: 280,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,413.37 : 399,529.28 = 203,446.04 : x
  2. Step 2: Convert to fraction form
    289,413.37/399,529.28 = 203,446.04/x
  3. Step 3: Cross multiply
    289,413.37x = 399,529.28 × 203,446.04
  4. Step 4: Simplify right side
    289,413.37x = 81,282,649,875.45
  5. Step 5: Solve for x
    x = 81,282,649,875.45/289,413.37
  6. Step 6: Final answer
    x = 280,853.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.