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Finding the Fourth Proportional to 340,310.20, 510,465.47 and 140,410.88

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Solution

The fourth proportional to 340,310.20, 510,465.47 and 140,410.88 is: 210,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,310.20 : 510,465.47 = 140,410.88 : x
  2. Step 2: Convert to fraction form
    340,310.20/510,465.47 = 140,410.88/x
  3. Step 3: Cross multiply
    340,310.20x = 510,465.47 × 140,410.88
  4. Step 4: Simplify right side
    340,310.20x = 71,674,905,852.31
  5. Step 5: Solve for x
    x = 71,674,905,852.31/340,310.20
  6. Step 6: Final answer
    x = 210,616.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.