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Finding the Fourth Proportional to 289,235.88, 433,810.08 and 78,890.40

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Solution

The fourth proportional to 289,235.88, 433,810.08 and 78,890.40 is: 118,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,235.88 : 433,810.08 = 78,890.40 : x
  2. Step 2: Convert to fraction form
    289,235.88/433,810.08 = 78,890.40/x
  3. Step 3: Cross multiply
    289,235.88x = 433,810.08 × 78,890.40
  4. Step 4: Simplify right side
    289,235.88x = 34,223,450,735.23
  5. Step 5: Solve for x
    x = 34,223,450,735.23/289,235.88
  6. Step 6: Final answer
    x = 118,323.67

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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.