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Finding the Fourth Proportional to 435,161, 653,742.12 and 309,107.72

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Solution

The fourth proportional to 435,161, 653,742.12 and 309,107.72 is: 464,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,161 : 653,742.12 = 309,107.72 : x
  2. Step 2: Convert to fraction form
    435,161/653,742.12 = 309,107.72/x
  3. Step 3: Cross multiply
    435,161x = 653,742.12 × 309,107.72
  4. Step 4: Simplify right side
    435,161x = 202,076,736,181.17
  5. Step 5: Solve for x
    x = 202,076,736,181.17/435,161
  6. Step 6: Final answer
    x = 464,372.35

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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.