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Finding the Fourth Proportional to 340,402.56, 509,994.72 and 190,468.32

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Solution

The fourth proportional to 340,402.56, 509,994.72 and 190,468.32 is: 285,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,402.56 : 509,994.72 = 190,468.32 : x
  2. Step 2: Convert to fraction form
    340,402.56/509,994.72 = 190,468.32/x
  3. Step 3: Cross multiply
    340,402.56x = 509,994.72 × 190,468.32
  4. Step 4: Simplify right side
    340,402.56x = 97,137,837,527.27
  5. Step 5: Solve for x
    x = 97,137,837,527.27/340,402.56
  6. Step 6: Final answer
    x = 285,361.65

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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.