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Finding the Fourth Proportional to 435,188, 653,782.62 and 309,134.72

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Solution

The fourth proportional to 435,188, 653,782.62 and 309,134.72 is: 464,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,188 : 653,782.62 = 309,134.72 : x
  2. Step 2: Convert to fraction form
    435,188/653,782.62 = 309,134.72/x
  3. Step 3: Cross multiply
    435,188x = 653,782.62 × 309,134.72
  4. Step 4: Simplify right side
    435,188x = 202,106,907,174.57
  5. Step 5: Solve for x
    x = 202,106,907,174.57/435,188
  6. Step 6: Final answer
    x = 464,412.87

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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.