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Finding the Fourth Proportional to 289,253.38, 433,835.52 and 78,907.72

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Solution

The fourth proportional to 289,253.38, 433,835.52 and 78,907.72 is: 118,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,253.38 : 433,835.52 = 78,907.72 : x
  2. Step 2: Convert to fraction form
    289,253.38/433,835.52 = 78,907.72/x
  3. Step 3: Cross multiply
    289,253.38x = 433,835.52 × 78,907.72
  4. Step 4: Simplify right side
    289,253.38x = 34,232,971,738.21
  5. Step 5: Solve for x
    x = 34,232,971,738.21/289,253.38
  6. Step 6: Final answer
    x = 118,349.43

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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.