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Finding the Fourth Proportional to 289,015.70, 433,515.45 and 131,243.90

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Solution

The fourth proportional to 289,015.70, 433,515.45 and 131,243.90 is: 196,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,015.70 : 433,515.45 = 131,243.90 : x
  2. Step 2: Convert to fraction form
    289,015.70/433,515.45 = 131,243.90/x
  3. Step 3: Cross multiply
    289,015.70x = 433,515.45 × 131,243.90
  4. Step 4: Simplify right side
    289,015.70x = 56,896,258,368.26
  5. Step 5: Solve for x
    x = 56,896,258,368.26/289,015.70
  6. Step 6: Final answer
    x = 196,862.17

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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.