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Finding the Fourth Proportional to 289,211.85, 433,804.99 and 78,849.81

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Solution

The fourth proportional to 289,211.85, 433,804.99 and 78,849.81 is: 118,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,211.85 : 433,804.99 = 78,849.81 : x
  2. Step 2: Convert to fraction form
    289,211.85/433,804.99 = 78,849.81/x
  3. Step 3: Cross multiply
    289,211.85x = 433,804.99 × 78,849.81
  4. Step 4: Simplify right side
    289,211.85x = 34,205,438,672.40
  5. Step 5: Solve for x
    x = 34,205,438,672.40/289,211.85
  6. Step 6: Final answer
    x = 118,271.22

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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.