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Finding the Fourth Proportional to 435,168, 653,752.62 and 309,114.72

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Solution

The fourth proportional to 435,168, 653,752.62 and 309,114.72 is: 464,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,168 : 653,752.62 = 309,114.72 : x
  2. Step 2: Convert to fraction form
    435,168/653,752.62 = 309,114.72/x
  3. Step 3: Cross multiply
    435,168x = 653,752.62 × 309,114.72
  4. Step 4: Simplify right side
    435,168x = 202,084,558,080.57
  5. Step 5: Solve for x
    x = 202,084,558,080.57/435,168
  6. Step 6: Final answer
    x = 464,382.85

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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.