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Finding the Fourth Proportional to 308,645.10, 463,951.80 and 290,930.40

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Solution

The fourth proportional to 308,645.10, 463,951.80 and 290,930.40 is: 437,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,645.10 : 463,951.80 = 290,930.40 : x
  2. Step 2: Convert to fraction form
    308,645.10/463,951.80 = 290,930.40/x
  3. Step 3: Cross multiply
    308,645.10x = 463,951.80 × 290,930.40
  4. Step 4: Simplify right side
    308,645.10x = 134,977,682,754.72
  5. Step 5: Solve for x
    x = 134,977,682,754.72/308,645.10
  6. Step 6: Final answer
    x = 437,323.26

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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.