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Finding the Fourth Proportional to 289,243.53, 434,145.17 and 139,589.17

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Solution

The fourth proportional to 289,243.53, 434,145.17 and 139,589.17 is: 209,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,243.53 : 434,145.17 = 139,589.17 : x
  2. Step 2: Convert to fraction form
    289,243.53/434,145.17 = 139,589.17/x
  3. Step 3: Cross multiply
    289,243.53x = 434,145.17 × 139,589.17
  4. Step 4: Simplify right side
    289,243.53x = 60,601,963,939.81
  5. Step 5: Solve for x
    x = 60,601,963,939.81/289,243.53
  6. Step 6: Final answer
    x = 209,518.82

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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.