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Finding the Fourth Proportional to 340,563.40, 510,845.10 and 287,419.30

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Solution

The fourth proportional to 340,563.40, 510,845.10 and 287,419.30 is: 431,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,563.40 : 510,845.10 = 287,419.30 : x
  2. Step 2: Convert to fraction form
    340,563.40/510,845.10 = 287,419.30/x
  3. Step 3: Cross multiply
    340,563.40x = 510,845.10 × 287,419.30
  4. Step 4: Simplify right side
    340,563.40x = 146,826,741,050.43
  5. Step 5: Solve for x
    x = 146,826,741,050.43/340,563.40
  6. Step 6: Final answer
    x = 431,128.95

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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.