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Finding the Fourth Proportional to 289,213.85, 433,807.98 and 78,851.81

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Solution

The fourth proportional to 289,213.85, 433,807.98 and 78,851.81 is: 118,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,213.85 : 433,807.98 = 78,851.81 : x
  2. Step 2: Convert to fraction form
    289,213.85/433,807.98 = 78,851.81/x
  3. Step 3: Cross multiply
    289,213.85x = 433,807.98 × 78,851.81
  4. Step 4: Simplify right side
    289,213.85x = 34,206,542,246.40
  5. Step 5: Solve for x
    x = 34,206,542,246.40/289,213.85
  6. Step 6: Final answer
    x = 118,274.22

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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.